{"id":182,"date":"2023-07-15T13:24:09","date_gmt":"2023-07-15T13:24:09","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%ba%d0%be%d1%80%d0%bd%d0%b8-%d0%ba%d0%be%d0%bc%d0%bf%d0%bb%d0%b5%d0%ba%d1%81%d0%bd%d1%8b%d1%85-%d1%87%d0%b8%d1%81%d0%b5%d0%bb\/"},"modified":"2023-07-15T13:24:09","modified_gmt":"2023-07-15T13:24:09","slug":"%d0%ba%d0%be%d1%80%d0%bd%d0%b8-%d0%ba%d0%be%d0%bc%d0%bf%d0%bb%d0%b5%d0%ba%d1%81%d0%bd%d1%8b%d1%85-%d1%87%d0%b8%d1%81%d0%b5%d0%bb","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%ba%d0%be%d1%80%d0%bd%d0%b8-%d0%ba%d0%be%d0%bc%d0%bf%d0%bb%d0%b5%d0%ba%d1%81%d0%bd%d1%8b%d1%85-%d1%87%d0%b8%d1%81%d0%b5%d0%bb\/","title":{"rendered":"\u041a\u043e\u0440\u043d\u0438 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b"},"content":{"rendered":"<p>\u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c <strong>\u043a\u043e\u0440\u043d\u0438 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b<\/strong> \u0434\u043e\u0432\u043e\u043b\u044c\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u043e. \u0427\u0442\u043e \u0436, \u043a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u0432\u044b \u043f\u043e\u0439\u043c\u0435\u0442\u0435 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0443, \u043e\u043d\u0430 \u0441\u0442\u0430\u043d\u0435\u0442 \u0434\u043e\u0432\u043e\u043b\u044c\u043d\u043e \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u044e\u0449\u0435\u0439\u0441\u044f. \u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c \u044d\u0442\u043e \u0438 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043c \u043f\u0440\u0438\u043c\u0435\u0440, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u043d\u0430\u0443\u0447\u0438\u0442\u044c\u0441\u044f \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0442\u044c \u0435\u0433\u043e \u0432 \u0440\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445.<\/p>\n<h2 class=\"wp-block-heading\"> <span id=\"Raices_enesimas_de_numeros_complejos\">\u043a\u043e\u0440\u043d\u0438 n-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438\u0437 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b<\/span><\/h2>\n<p> \u041f\u043e\u043d\u044f\u0442\u0438\u0435 \u043a\u043e\u0440\u043d\u044f n-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e \u043f\u0440\u043e\u0438\u0437\u043d\u0435\u0441\u0435\u043d\u0438\u044e \u043a\u043e\u0440\u043d\u044f \u043f\u043e\u0440\u044f\u0434\u043a\u0430 n, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0442\u043e\u0442 \u0436\u0435 \u043c\u0435\u0442\u043e\u0434 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u043a\u043e\u0440\u043d\u044f \u0438 \u043a\u043e\u0440\u043d\u044f \u043f\u044f\u0442\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438\u0437 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430. \u041a\u043e\u043d\u0435\u0447\u043d\u043e, \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u0439 \u0431\u0443\u0434\u0435\u0442 \u043c\u0435\u043d\u044f\u0442\u044c\u0441\u044f \u0432 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u043e\u0442 \u044d\u0442\u043e\u0433\u043e \u043f\u043e\u0440\u044f\u0434\u043a\u0430.<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0435\u0441\u043b\u0438 \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043c \u043a\u043e\u0440\u0435\u043d\u044c \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u0430, \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043c 4 \u0440\u0430\u0437\u043d\u044b\u0445 \u0440\u0435\u0448\u0435\u043d\u0438\u044f. \u0410 \u0435\u0441\u043b\u0438 \u0432\u044b\u0440\u0430\u0437\u0438\u0442\u044c \u044d\u0442\u043e \u0432  \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438  , \u0442\u043e \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u0447\u0442\u043e \u043e\u0431\u0440\u0430\u0437\u0443\u0435\u0442\u0441\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u044b\u0439 \u043c\u043d\u043e\u0433\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a \u0441 4 \u0441\u0442\u043e\u0440\u043e\u043d\u0430\u043c\u0438, \u0441 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0432 \u043d\u0430\u0447\u0430\u043b\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438. \u042d\u0442\u043e \u043e\u0447\u0435\u043d\u044c \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u043e\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u043c\u044b \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043f\u043e\u0437\u0436\u0435 (\u0432 \u0440\u0430\u0437\u0434\u0435\u043b\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432).<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0440\u0430\u0437\u044a\u044f\u0441\u043d\u0438\u043b\u0438 \u044d\u0442\u043e \u043f\u043e\u043d\u044f\u0442\u0438\u0435, \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043a\u043e\u0440\u0435\u043d\u044c \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430 \u0432 \u043f\u043e\u043b\u044f\u0440\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0435 (\u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u0442\u0430\u043a\u0438\u0445 \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0443\u0434\u043e\u0431\u043d\u043e \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043a\u043e\u0440\u043d\u044f.). \u041f\u0440\u043e\u0449\u0435 \u0433\u043e\u0432\u043e\u0440\u044f, \u0432\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043a\u043e\u0440\u0435\u043d\u044c \u043c\u043e\u0434\u0443\u043b\u044f \u0438 \u0432\u044b\u0440\u0430\u0437\u0438\u0442\u044c \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442 \u0447\u0435\u0440\u0435\u0437 n. \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u043a\u043e\u0440\u0435\u043d\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430 (z): <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"72\" height=\"29\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/nombre-sous-forme-polaire.webp\" data-src=\"\" alt=\"\u0447\u0438\u0441\u043b\u043e \u0432 \u043f\u043e\u043b\u044f\u0440\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0435\" class=\"wp-image-11307 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u042d\u0442\u0438 \u0441\u0443\u043c\u043c\u044b \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430:<\/p>\n<ul>\n<li> <strong>\u041c\u043e\u0434\u0443\u043b\u044c:<\/strong> \u043a\u043e\u0440\u0435\u043d\u044c n-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438\u0441\u0445\u043e\u0434\u043d\u043e\u0433\u043e \u043c\u043e\u0434\u0443\u043b\u044f.<\/li>\n<li> <strong>\u0410\u0440\u0433\u0443\u043c\u0435\u043d\u0442:<\/strong> \u043f\u0440\u0438\u0431\u0430\u0432\u044c\u0442\u0435 \u043a \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442\u0443 2\u03c0k \u0432 \u0440\u0430\u0434\u0438\u0430\u043d\u0430\u0445 \u0438\u043b\u0438 360k \u0432 \u0433\u0440\u0430\u0434\u0443\u0441\u0430\u0445 \u0438 \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u0435 \u043d\u0430 n.<\/li>\n<\/ul>\n<p> \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u043c\u043e\u0434\u0443\u043b\u044f \u0438 \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442\u0430 \u043c\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u044b: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"114\" height=\"89\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/racines-des-nombres-complexes.webp\" data-src=\"\" alt=\"\u041a\u043e\u0440\u043d\u0438 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b\" class=\"wp-image-11371 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0413\u0434\u0435 k = 0, 1, 2, \u2026, n-1.<\/p>\n<p> \u0418, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0432\u044b\u0440\u0430\u0437\u0438\u043c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"84\" height=\"43\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/calculer-la-racine-nieme-dun-nombre-complexe.webp\" data-src=\"\" alt=\"\u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043a\u043e\u0440\u0435\u043d\u044c n-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438\u0437 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430\" class=\"wp-image-11347 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u043d\u0435\u0441\u0442\u0438 \u044f\u0441\u043d\u043e\u0441\u0442\u044c, n \u0440\u0435\u0448\u0435\u043d\u0438\u0439, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u044d\u0442\u043e\u0433\u043e \u043a\u043e\u0440\u043d\u044f, \u0431\u0443\u0434\u0443\u0442 \u0441\u0444\u043e\u0440\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u044b \u043e\u0434\u043d\u0438\u043c \u0438 \u0442\u0435\u043c \u0436\u0435 \u043c\u043e\u0434\u0443\u043b\u0435\u043c \u0438 n \u0440\u0430\u0437\u043d\u044b\u043c\u0438 \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442\u0430\u043c\u0438.<\/p>\n<h2 class=\"wp-block-heading\"> <span id=\"Ejemplos_del_calculo_de_raices_enesimas_de_complejos\">\u041f\u0440\u0438\u043c\u0435\u0440\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043a\u043e\u0440\u043d\u0435\u0439 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043e\u0432 n-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438<\/span><\/h2>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u043f\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044e \u043a\u043e\u0440\u043d\u0435\u0439 n-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438\u0437 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b. \u041c\u044b \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u0435\u043c \u0432\u0430\u043c \u043f\u043e\u043f\u044b\u0442\u0430\u0442\u044c\u0441\u044f \u0440\u0435\u0448\u0438\u0442\u044c \u0438\u0445 \u0441\u0430\u043c\u043e\u0441\u0442\u043e\u044f\u0442\u0435\u043b\u044c\u043d\u043e, \u0430 \u043a\u043e\u0433\u0434\u0430 \u0432\u044b \u0437\u0430\u043a\u043e\u043d\u0447\u0438\u0442\u0435, \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u0442\u0435 \u0438\u0441\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435. \u041d\u0435 \u0437\u0430\u0431\u044b\u0432\u0430\u0439\u0442\u0435, \u0447\u0442\u043e \u043c\u0435\u0442\u043e\u0434 \u043e\u043f\u0438\u0441\u0430\u043d \u0447\u0443\u0442\u044c \u0432\u044b\u0448\u0435.<\/p>\n<p> <strong>\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0442\u0440\u0435\u0442\u0438\u0439 \u043a\u043e\u0440\u0435\u043d\u044c \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430: 1 + <strong>i<\/strong> \u221a3<\/strong> . <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"89\" height=\"55\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-de-racines-complexes.webp\" data-src=\"\" alt=\"\u041a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u043e\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u0434\u043b\u044f \u043a\u043e\u0440\u043d\u0435\u0439.\" class=\"wp-image-11349 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"su-expand su-expand-collapsed su-expand-link-style-button\" data-height=\"0\">\n<div class=\"su-expand-content su-u-trim\" style=\"color:#333333;max-height:0px;overflow:hidden\">\n<p> <strong>\u041f\u041e\u0416\u0410\u041b\u0423\u0419\u0421\u0422\u0410, \u041e\u0411\u0420\u0410\u0422\u0418\u0422\u0415 \u0412\u041d\u0418\u041c\u0410\u041d\u0418\u0415:<\/strong> \u043c\u044b \u0431\u0443\u0434\u0435\u043c \u0440\u0435\u0448\u0430\u0442\u044c \u044d\u0442\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0440\u0430\u0434\u0438\u0430\u043d\u044b, \u0430 \u043d\u0435 \u0433\u0440\u0430\u0434\u0443\u0441\u044b.<\/p>\n<p> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0438\u043c, \u0447\u0438\u0441\u043b\u043e \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u0432 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0435, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043f\u0435\u0440\u0432\u044b\u043c \u0434\u0435\u043b\u043e\u043c \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u0432\u044b\u0440\u0430\u0437\u0438\u0442\u044c \u0435\u0433\u043e \u0432 \u043f\u043e\u043b\u044f\u0440\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0435. \u0415\u0441\u043b\u0438 \u0432\u044b \u043d\u0435 \u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u044d\u0442\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u0435\u043c \u043f\u0440\u043e\u0447\u0438\u0442\u0430\u0442\u044c \u043d\u0430\u0448\u0443 \u0441\u0442\u0430\u0442\u044c\u044e \u043e  \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0445 \u0447\u0438\u0441\u043b\u0430\u0445  , \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043c\u044b \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e \u043e\u0431\u0441\u0443\u0436\u0434\u0430\u0435\u043c \u044d\u0442\u0443 \u0442\u0435\u043c\u0443. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"209\" height=\"116\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/racine-dun-nombre-polaire.webp\" data-src=\"\" alt=\"\u043a\u043e\u0440\u0435\u043d\u044c \u043f\u043e\u043b\u044f\u0440\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430\" class=\"wp-image-11329 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u0447\u0438\u0441\u043b\u043e \u0432 \u043f\u043e\u043b\u044f\u0440\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0435, \u043f\u0440\u043e\u0441\u0442\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0439\u0442\u0435 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0438\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u044b, \u0447\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u043e\u0432\u044b\u0439 \u043c\u043e\u0434\u0443\u043b\u044c \u0438 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0435 \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442\u044b. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"303\" height=\"175\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-calcul-des-racines-dun-nombre-complexe.webp\" data-src=\"\" alt=\"\u041f\u0440\u0438\u043c\u0435\u0440 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043a\u043e\u0440\u043d\u0435\u0439 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430\" class=\"wp-image-11330 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u043c \u044d\u0442\u043e \u0432 \u043f\u043e\u043b\u044f\u0440\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0435. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"94\" height=\"143\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/racine-dun-exercice-sur-les-nombres-complexes.webp\" data-src=\"\" alt=\"\u041a\u043e\u0440\u0435\u043d\u044c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430\" class=\"wp-image-11331 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0422\u0430\u043a\u0436\u0435 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0437\u0430\u043f\u0438\u0441\u0430\u0442\u044c \u044d\u0442\u043e \u0432 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0438 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0435: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"308\" height=\"332\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/racines-complexes.webp\" data-src=\"\" alt=\"\u0441\u043b\u043e\u0436\u043d\u044b\u0435 \u043a\u043e\u0440\u043d\u0438\" class=\"wp-image-11332 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u044d\u0442\u043e \u0432 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"472\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/representation-graphique-racines-complexes.webp\" data-src=\"\" alt=\"\u0413\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0421\u043b\u043e\u0436\u043d\u044b\u0435 \u043a\u043e\u0440\u043d\u0438\" class=\"wp-image-11353 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/02\/Representacion-grafica-Raices-complejas-500x472.png 500w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/02\/Representacion-grafica-Raices-complejas.png 619w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<\/div>\n<div class=\"su-expand-link su-expand-link-more\" style=\"text-align:center\"> \u043f\u043e\u043a\u0430\u0436\u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/div>\n<div class=\"su-expand-link su-expand-link-less\" style=\"text-align:center\"> \u041f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u0439 \u043c\u0435\u043d\u044c\u0448\u0435<\/div>\n<\/div>\n<p> <strong>\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043a\u043e\u0440\u0435\u043d\u044c \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430: 3+i <strong>\u221a<\/strong> 3<\/strong> . <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"87\" height=\"47\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-racines-complexes.webp\" data-src=\"\" alt=\"\u041f\u0440\u0438\u043c\u0435\u0440 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0445 \u043a\u043e\u0440\u043d\u0435\u0439\" class=\"wp-image-11350 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"su-expand su-expand-collapsed su-expand-link-style-button\" data-height=\"0\">\n<div class=\"su-expand-content su-u-trim\" style=\"color:#333333;max-height:0px;overflow:hidden\">\n<p> <strong>\u041f\u041e\u0416\u0410\u041b\u0423\u0419\u0421\u0422\u0410, \u041e\u0411\u0420\u0410\u0422\u0418\u0422\u0415 \u0412\u041d\u0418\u041c\u0410\u041d\u0418\u0415:<\/strong> \u043c\u044b \u0440\u0435\u0448\u0430\u0435\u043c \u044d\u0442\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0440\u0430\u0434\u0438\u0430\u043d\u044b, \u0430 \u043d\u0435 \u0433\u0440\u0430\u0434\u0443\u0441\u044b.<\/p>\n<p> \u041a\u0430\u043a \u0438 \u0440\u0430\u043d\u044c\u0448\u0435, \u043c\u044b \u043d\u0430\u0447\u043d\u0435\u043c \u0441 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u044b \u0432 \u043f\u043e\u043b\u044f\u0440\u043d\u0443\u044e \u0444\u043e\u0440\u043c\u0443. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"212\" height=\"115\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/binome-a-polaire.webp\" data-src=\"\" alt=\"\u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0439 \u043a \u043f\u043e\u043b\u044f\u0440\u043d\u043e\u043c\u0443\" class=\"wp-image-11342 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0417\u0430\u0442\u0435\u043c \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u043c \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u043d\u043e\u0432\u043e\u0433\u043e \u043c\u043e\u0434\u0443\u043b\u044f \u0438 \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442\u043e\u0432. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"302\" height=\"232\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/calcul-des-racines-complexes.webp\" data-src=\"\" alt=\"\u0412\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0435 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0445 \u043a\u043e\u0440\u043d\u0435\u0439\" class=\"wp-image-11343 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0412\u044b\u0440\u0430\u0437\u0438\u043c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0432 \u043f\u043e\u043b\u044f\u0440\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0435. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"101\" height=\"199\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/racines-des-nombres-complexes-sous-forme-polaire.webp\" data-src=\"\" alt=\"\u041a\u043e\u0440\u043d\u0438 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u0432 \u043f\u043e\u043b\u044f\u0440\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0435\" class=\"wp-image-11344 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0417\u0430\u0442\u0435\u043c \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u043c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0432 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0438 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0435. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"335\" height=\"458\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/racines-de-nombres-complexes-sous-forme-binomiale.webp\" data-src=\"\" alt=\"\u041a\u043e\u0440\u043d\u0438 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u0432 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0435\" class=\"wp-image-11345 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u043c \u0433\u0440\u0430\u0444\u0438\u043a \u0440\u0435\u0448\u0435\u043d\u0438\u0439 \u043d\u0430 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"474\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/tracer-des-racines-complexes.webp\" data-src=\"\" alt=\"\u0420\u0438\u0441\u0443\u0435\u043c \u0441\u043b\u043e\u0436\u043d\u044b\u0435 \u043a\u043e\u0440\u043d\u0438\" class=\"wp-image-11356 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/02\/Graficar-raices-complejas-500x474.png 500w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/02\/Graficar-raices-complejas.png 613w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<\/div>\n<div class=\"su-expand-link su-expand-link-more\" style=\"text-align:center\"> \u043f\u043e\u043a\u0430\u0436\u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/div>\n<div class=\"su-expand-link su-expand-link-less\" style=\"text-align:center\"> \u041f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u0439 \u043c\u0435\u043d\u044c\u0448\u0435<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"> <span id=\"Mas_sobre_raices_de_numeros_complejos\">\u0423\u0437\u043d\u0430\u0439\u0442\u0435 \u043e \u043a\u043e\u0440\u043d\u044f\u0445 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b<\/span><\/h2>\n<ul>\n<li>  \u041a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430 <\/li>\n<li>  \u041e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u043d\u0430\u0434 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u043c\u0438 \u0447\u0438\u0441\u043b\u0430\u043c\u0438 <\/li>\n<li>  \u0441\u043b\u043e\u0436\u043d\u044b\u0435 \u043f\u043e\u043b\u043d\u043e\u043c\u043e\u0447\u0438\u044f <\/li>\n<li>  \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b <\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043a\u043e\u0440\u043d\u0438 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u0434\u043e\u0432\u043e\u043b\u044c\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u043e. \u0427\u0442\u043e \u0436, \u043a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u0432\u044b \u043f\u043e\u0439\u043c\u0435\u0442\u0435 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0443, \u043e\u043d\u0430 \u0441\u0442\u0430\u043d\u0435\u0442 \u0434\u043e\u0432\u043e\u043b\u044c\u043d\u043e \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u044e\u0449\u0435\u0439\u0441\u044f. \u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c \u044d\u0442\u043e \u0438 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043c \u043f\u0440\u0438\u043c\u0435\u0440, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u043d\u0430\u0443\u0447\u0438\u0442\u044c\u0441\u044f \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0442\u044c \u0435\u0433\u043e \u0432 \u0440\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445. \u043a\u043e\u0440\u043d\u0438 n-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438\u0437 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u041f\u043e\u043d\u044f\u0442\u0438\u0435 \u043a\u043e\u0440\u043d\u044f n-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e \u043f\u0440\u043e\u0438\u0437\u043d\u0435\u0441\u0435\u043d\u0438\u044e \u043a\u043e\u0440\u043d\u044f \u043f\u043e\u0440\u044f\u0434\u043a\u0430 n, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0442\u043e\u0442 \u0436\u0435 \u043c\u0435\u0442\u043e\u0434 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%ba%d0%be%d1%80%d0%bd%d0%b8-%d0%ba%d0%be%d0%bc%d0%bf%d0%bb%d0%b5%d0%ba%d1%81%d0%bd%d1%8b%d1%85-%d1%87%d0%b8%d1%81%d0%b5%d0%bb\/\"> <span class=\"screen-reader-text\">\u041a\u043e\u0440\u043d\u0438 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[27,9],"tags":[],"class_list":["post-182","post","type-post","status-publish","format-standard","hentry","category-27","category-9"],"yoast_head":"<!-- This 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