{"id":180,"date":"2023-07-15T13:24:09","date_gmt":"2023-07-15T13:24:09","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e8%a4%87%e7%b4%a0%e6%95%b0%e3%81%ae%e6%a0%b9\/"},"modified":"2023-07-15T13:24:09","modified_gmt":"2023-07-15T13:24:09","slug":"%e8%a4%87%e7%b4%a0%e6%95%b0%e3%81%ae%e6%a0%b9","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e8%a4%87%e7%b4%a0%e6%95%b0%e3%81%ae%e6%a0%b9\/","title":{"rendered":"\u8907\u7d20\u6570\u306e\u6839"},"content":{"rendered":"<p><strong>\u8907\u7d20\u6570\u306e\u6839\u3092<\/strong>\u8a08\u7b97\u3059\u308b\u306e\u306f\u975e\u5e38\u306b\u7c21\u5358\u3067\u3059\u3002\u307e\u3042\u3001\u624b\u9806\u3092\u7406\u89e3\u3059\u308b\u3068\u3001\u304b\u306a\u308a\u306e\u7e70\u308a\u8fd4\u3057\u306b\u306a\u308a\u307e\u3059\u3002\u6b21\u306b\u3001\u305d\u308c\u3092\u8aac\u660e\u3057\u3001\u4f8b\u3092\u6319\u3052\u3066\u5b9f\u969b\u306e\u6f14\u7fd2\u3067\u306e\u5fdc\u7528\u65b9\u6cd5\u3092\u5b66\u3073\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Raices_enesimas_de_numeros_complejos\">\u8907\u7d20\u6570\u306e n \u4e57\u6839<\/span><\/h2>\n<p>n \u4e57\u6839\u306e\u6982\u5ff5\u306f n \u6b21\u306e\u4e57\u6839\u3068\u540c\u3058\u306a\u306e\u3067\u3001\u8907\u7d20\u6570\u306e\u5e73\u65b9\u6839\u3068 5 \u4e57\u6839\u3092\u8a08\u7b97\u3059\u308b\u306e\u306b\u540c\u3058\u65b9\u6cd5\u304c\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3082\u3061\u308d\u3093\u3001\u3053\u306e\u9806\u5e8f\u306b\u3088\u3063\u3066\u89e3\u306e\u6570\u306f\u5909\u308f\u308a\u307e\u3059\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u8907\u7d20\u6570\u306e 4 \u756a\u76ee\u306e\u6839\u3092\u8a08\u7b97\u3059\u308b\u3068\u30014 \u3064\u306e\u7570\u306a\u308b\u89e3\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u305d\u3057\u3066\u305d\u308c\u3092<a href=\"https:\/\/mathority.org\/ja\/\u8907\u7d20\u5e73\u9762\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u8907\u7d20\u5e73\u9762<\/a>\u3067\u8868\u73fe\u3059\u308b\u3068\u3001\u5e73\u9762\u306e\u539f\u70b9\u3092\u4e2d\u5fc3\u3068\u3057\u305f\uff14\u8fba\u306e\u6b63\u591a\u89d2\u5f62\u304c\u5f62\u6210\u3055\u308c\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u975e\u5e38\u306b\u8208\u5473\u6df1\u3044\u30d7\u30ed\u30d1\u30c6\u30a3\u3067\u3042\u308a\u3001\u5f8c\u3067 (\u4f8b\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067) \u8a73\u7d30\u306b\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u6982\u5ff5\u3092\u660e\u78ba\u306b\u3057\u305f\u306e\u3067\u3001\u6975\u5f62\u5f0f\u3067\u8907\u7d20\u6570\u306e\u6839\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u3044\u304d\u307e\u3059 (\u6839\u3092\u89e3\u304f\u306b\u306f\u3001\u3053\u306e\u8868\u8a18\u3092\u4f7f\u7528\u3059\u308b\u306e\u304c\u6700\u3082\u7c21\u5358\u3067\u3059)\u3002\u5358\u7d14\u306b\u3001\u4fc2\u6570\u306e\u6839\u3092\u8a08\u7b97\u3057\u3001\u5f15\u6570\u3092 n \u3067\u8868\u73fe\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6b21\u306e\u8907\u7d20\u6570 (z) \u306e\u6839\u3067\u3059\u3002 <\/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=\"\u6975\u5f62\u5f0f\u306e\u6570\u5024\" class=\"wp-image-11307 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3053\u308c\u3089\u306e\u8a08\u7b97\u5bfe\u8c61\u3068\u306a\u308b\u91d1\u984d\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<ul>\n<li><strong>\u30e2\u30b8\u30e5\u30fc\u30eb:<\/strong>\u521d\u671f\u30e2\u30b8\u30e5\u30fc\u30eb\u306e n \u756a\u76ee\u306e\u30eb\u30fc\u30c8\u3002<\/li>\n<li><strong>\u5f15\u6570:<\/strong>\u5f15\u6570\u306b\u30e9\u30b8\u30a2\u30f3\u3067 2\u03c0k \u307e\u305f\u306f\u5ea6\u3067 360k \u3092\u52a0\u3048\u3001n \u3067\u5272\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<p>\u6570\u5b66\u7684\u306b\u306f\u3001\u30e2\u30b8\u30e5\u30fc\u30eb\u3068\u5f15\u6570\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u6b21\u306e 2 \u3064\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002 <\/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=\"\u8907\u7d20\u6570\u306e\u6839\" class=\"wp-image-11371 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3053\u3053\u3067\u3001k = 0\u30011\u30012\u3001\u2026\u3001n-1\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u7d50\u679c\u3092\u6b21\u306e\u3088\u3046\u306b\u8868\u73fe\u3057\u307e\u3059\u3002 <\/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=\"\u8907\u7d20\u6570\u306e n \u4e57\u6839\u3092\u8a08\u7b97\u3057\u307e\u3059\" class=\"wp-image-11347 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u660e\u78ba\u306b\u3059\u308b\u305f\u3081\u306b\u3001\u3053\u306e\u30eb\u30fc\u30c8\u3092\u89e3\u304f\u3053\u3068\u3067\u5f97\u3089\u308c\u308b n \u500b\u306e\u89e3\u306f\u3001\u540c\u3058\u30e2\u30b8\u30e5\u30fc\u30eb\u3068 n \u500b\u306e\u7570\u306a\u308b\u5f15\u6570\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Ejemplos_del_calculo_de_raices_enesimas_de_complejos\">\u8907\u7d20\u6570\u306e n \u4e57\u6839\u306e\u8a08\u7b97\u4f8b<\/span><\/h2>\n<p>\u6b21\u306b\u3001\u8907\u7d20\u6570\u306e n \u4e57\u6839\u3092\u8a08\u7b97\u3059\u308b\u4f8b\u3092\u3044\u304f\u3064\u304b\u898b\u3066\u3044\u304d\u307e\u3059\u3002\u3054\u81ea\u8eab\u3067\u554f\u984c\u306e\u89e3\u6c7a\u3092\u8a66\u307f\u3001\u5b8c\u4e86\u3057\u305f\u3089\u4fee\u6b63\u5185\u5bb9\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002\u65b9\u6cd5\u306f\u4e0a\u3067\u8aac\u660e\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u5fd8\u308c\u306a\u3044\u3067\u304f\u3060\u3055\u3044\u3002<\/p>\n<p><strong>\u8907\u7d20\u6570\u306e 3 \u756a\u76ee\u306e\u6839\u3092\u6c42\u3081\u307e\u3059: 1 + <strong>i<\/strong> \u221a3<\/strong> \u3002 <\/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=\"\u8907\u96d1\u306a\u6839\u306e\u904b\u52d5\" 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>\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044:<\/strong>\u3053\u306e\u6f14\u7fd2\u3067\u306f\u5ea6\u3067\u306f\u306a\u304f\u30e9\u30b8\u30a2\u30f3\u3092\u4f7f\u7528\u3057\u3066\u89e3\u304d\u307e\u3059\u3002<\/p>\n<p>\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u6570\u5024\u306f\u4e8c\u9805\u5f62\u5f0f\u3067\u8868\u73fe\u3055\u308c\u308b\u305f\u3081\u3001\u6700\u521d\u306e\u30b9\u30c6\u30c3\u30d7\u306f\u6975\u5f62\u5f0f\u3067\u8868\u73fe\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u65b9\u6cd5\u304c\u308f\u304b\u3089\u306a\u3044\u5834\u5408\u306f\u3001\u3053\u306e\u30c8\u30d4\u30c3\u30af\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u3044\u308b<a href=\"https:\/\/mathority.org\/ja\/\u8907\u7d20\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u8907\u7d20\u6570<\/a>\u306b\u95a2\u3059\u308b\u8a18\u4e8b\u3092\u8aad\u3080\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002 <\/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=\"\u6975\u6570\u306e\u6839\" class=\"wp-image-11329 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6570\u5024\u3092\u6975\u5f62\u5f0f\u3067\u53d6\u5f97\u3057\u305f\u3089\u3001\u524d\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u65b0\u3057\u3044\u30e2\u30b8\u30e5\u30fc\u30eb\u3068\u3055\u307e\u3056\u307e\u306a\u5f15\u6570\u3092\u8a08\u7b97\u3059\u308b\u3060\u3051\u3067\u3059\u3002 <\/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=\"\u8907\u7d20\u6570\u306e\u6839\u3092\u8a08\u7b97\u3059\u308b\u4f8b\" class=\"wp-image-11330 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u305d\u308c\u3092\u6975\u5f62\u5f0f\u3067\u8868\u73fe\u3057\u307e\u3059\u3002 <\/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=\"\u8907\u7d20\u6570\u306e\u6f14\u7fd2\u306e\u6839\" class=\"wp-image-11331 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u307e\u305f\u3001\u4e09\u89d2\u95a2\u6570\u3084\u4e8c\u9805\u5f62\u5f0f\u3067\u66f8\u304f\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 <\/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=\"\u8907\u96d1\u306a\u6839\" class=\"wp-image-11332 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u305d\u308c\u3092\u8907\u7d20\u5e73\u9762\u3067\u8868\u73fe\u3057\u307e\u3059\u3002 <\/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=\"\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u8868\u73fe \u8907\u96d1\u306a\u30eb\u30fc\u30c8\" 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\">\u89e3\u6c7a\u7b56\u3092\u793a\u3059<\/div>\n<div class=\"su-expand-link su-expand-link-less\" style=\"text-align:center\">\u8868\u793a\u3092\u5c11\u306a\u304f\u3059\u308b<\/div>\n<\/div>\n<p><strong>\u8907\u7d20\u6570\u306e 4 \u756a\u76ee\u306e\u6839\u3092\u6c42\u3081\u307e\u3059: 3+i <strong>\u221a<\/strong> 3<\/strong> \u3002 <\/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=\"\u8907\u96d1\u306a\u30eb\u30fc\u30c8\u306e\u4f8b\" 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>\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044:<\/strong>\u3053\u306e\u6f14\u7fd2\u3067\u306f\u3001\u5ea6\u3067\u306f\u306a\u304f\u30e9\u30b8\u30a2\u30f3\u3092\u4f7f\u7528\u3057\u3066\u89e3\u304d\u307e\u3059\u3002<\/p>\n<p>\u524d\u3068\u540c\u69d8\u306b\u3001\u4e8c\u9805\u5f62\u5f0f\u3092\u6975\u5f62\u5f0f\u306b\u5909\u63db\u3059\u308b\u3053\u3068\u304b\u3089\u59cb\u3081\u307e\u3059\u3002 <\/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=\"\u4e8c\u9805\u304b\u3089\u6975\u3078\" class=\"wp-image-11342 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6b21\u306b\u3001\u5f0f\u3092\u9069\u7528\u3057\u3066\u65b0\u3057\u3044\u4fc2\u6570\u3068\u5f15\u6570\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/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=\"\u8907\u7d20\u6839\u306e\u8a08\u7b97\" class=\"wp-image-11343 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u7d50\u679c\u3092\u6975\u5f62\u5f0f\u3067\u8868\u73fe\u3057\u307e\u3059\u3002 <\/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=\"\u6975\u5f62\u5f0f\u306e\u8907\u7d20\u6570\u306e\u6839\" class=\"wp-image-11344 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6b21\u306b\u3001\u7d50\u679c\u3092\u4e09\u89d2\u95a2\u6570\u3068\u4e8c\u9805\u5f62\u5f0f\u3067\u8868\u73fe\u3057\u307e\u3059\u3002 <\/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=\"\u4e8c\u9805\u5f62\u5f0f\u306e\u8907\u7d20\u6570\u306e\u6839\" class=\"wp-image-11345 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u89e3\u3092\u8907\u7d20\u5e73\u9762\u3067\u30b0\u30e9\u30d5\u5316\u3057\u307e\u3059\u3002 <\/p>\n<div 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