{"id":180,"date":"2023-07-15T13:24:09","date_gmt":"2023-07-15T13:24:09","guid":{"rendered":"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/"},"modified":"2023-07-15T13:24:09","modified_gmt":"2023-07-15T13:24:09","slug":"akar-bilangan-kompleks","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/","title":{"rendered":"Akar bilangan kompleks"},"content":{"rendered":"<p>Menghitung <strong>akar bilangan kompleks<\/strong> cukup sederhana. Nah, setelah Anda memahami prosedurnya, itu cukup berulang. Selanjutnya akan kami jelaskan dan kami berikan contohnya, sehingga Anda dapat mempelajari cara menerapkannya dalam latihan nyata.<\/p>\n<h2 class=\"wp-block-heading\"> <span id=\"Raices_enesimas_de_numeros_complejos\">akar ke-n bilangan kompleks<\/span><\/h2>\n<p> Konsep akar ke-n setara dengan akar orde n, oleh karena itu, metode yang sama digunakan untuk menghitung akar kuadrat dan akar kelima suatu bilangan kompleks. Tentu saja, jumlah solusi akan berubah bergantung pada urutan ini.<\/p>\n<p> Misalnya, jika kita menghitung akar keempat suatu kompleks, kita memperoleh 4 solusi berbeda. Dan jika kita nyatakan dalam <a href=\"https:\/\/mathority.org\/id\/bidang-kompleks\/\" target=\"_blank\" rel=\"noreferrer noopener\">bidang kompleks<\/a> , kita melihat bahwa terbentuk poligon beraturan dengan 4 sisi, berpusat pada titik asal bidang. Ini adalah properti yang sangat menarik, yang akan kita lihat secara detail nanti (di bagian contoh).<\/p>\n<p> Sekarang setelah kita memperjelas konsep ini, kita akan melihat cara menghitung akar bilangan kompleks dalam bentuk polar (menggunakan notasi ini adalah cara yang paling nyaman untuk menyelesaikan akar.). Sederhananya, Anda perlu menghitung akar modulus dan menyatakan argumennya dalam bentuk n. Dengan kata lain, akar bilangan kompleks berikut (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=\"bilangan dalam bentuk polar\" class=\"wp-image-11307 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Jumlah ini untuk dihitung:<\/p>\n<ul>\n<li> <strong>Modul:<\/strong> Akar ke-n dari modul awal.<\/li>\n<li> <strong>Argumen:<\/strong> Tambahkan 2\u03c0k dalam radian atau 360k dalam derajat ke argumen, dan bagi dengan n.<\/li>\n<\/ul>\n<p> Secara matematis, untuk menghitung modul dan argumen kita menggunakan dua rumus berikut: <\/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=\"Akar bilangan kompleks\" class=\"wp-image-11371 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Dimana, k = 0, 1, 2,\u2026, n-1.<\/p>\n<p> Oleh karena itu, kami nyatakan hasilnya sebagai berikut: <\/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=\"Hitung akar ke-n suatu bilangan kompleks\" class=\"wp-image-11347 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Jelasnya, n solusi yang diperoleh dengan menyelesaikan akar ini akan dibentuk oleh modul yang sama dan n argumen berbeda.<\/p>\n<h2 class=\"wp-block-heading\"> <span id=\"Ejemplos_del_calculo_de_raices_enesimas_de_complejos\">Contoh penghitungan akar kompleks ke-n<\/span><\/h2>\n<p> Sekarang kita akan melihat beberapa contoh penghitungan akar ke-n bilangan kompleks. Kami menyarankan Anda mencoba menyelesaikannya sendiri dan setelah selesai, lihat perbaikannya. Jangan lupa caranya sudah dijelaskan di atas.<\/p>\n<p> <strong>Temukan akar ketiga bilangan kompleks: 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=\"Latihan akar yang kompleks\" 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>HARAP DICATAT:<\/strong> Kita akan menyelesaikan latihan ini menggunakan radian dan bukan derajat.<\/p>\n<p> Seperti yang bisa kita lihat, bilangan tersebut dinyatakan dalam bentuk binomial, jadi langkah pertama yang harus dilakukan adalah menyatakannya dalam bentuk polar. Jika Anda tidak tahu cara melakukan ini, kami sarankan membaca artikel kami tentang <a href=\"https:\/\/mathority.org\/id\/bilangan-kompleks\/\" target=\"_blank\" rel=\"noreferrer noopener\">bilangan kompleks<\/a> , di mana kami membahas topik ini secara mendetail. <\/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=\"akar bilangan polar\" class=\"wp-image-11329 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Setelah kita memiliki bilangan dalam bentuk polar, cukup gunakan rumus sebelumnya untuk menghitung modul baru dan argumen yang berbeda. <\/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=\"Contoh menghitung akar-akar bilangan kompleks\" class=\"wp-image-11330 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Dan terakhir, kami mengungkapkannya dalam bentuk polar. <\/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=\"Akar latihan bilangan kompleks\" class=\"wp-image-11331 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Selain itu, kita juga dapat menuliskannya dalam bentuk trigonometri dan binomial: <\/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=\"akar yang kompleks\" class=\"wp-image-11332 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Dan terakhir, kami merepresentasikannya dalam bidang kompleks: <\/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=\"Representasi grafis Akar kompleks\" 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\"> menunjukkan solusinya<\/div>\n<div class=\"su-expand-link su-expand-link-less\" style=\"text-align:center\"> Tampilkan lebih sedikit<\/div>\n<\/div>\n<p> <strong>Temukan akar keempat bilangan kompleks: 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=\"Contoh akar kompleks\" 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>HARAP DICATAT:<\/strong> Kami menyelesaikan latihan ini menggunakan radian dan bukan derajat.<\/p>\n<p> Seperti sebelumnya, kita mulai dengan mengubah bentuk binomial menjadi bentuk polar. <\/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=\"binomial ke polar\" class=\"wp-image-11342 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Kemudian kami menerapkan rumus untuk menghitung modulus dan argumen baru. <\/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=\"Perhitungan akar kompleks\" class=\"wp-image-11343 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Kami menyatakan hasilnya dalam bentuk polar. <\/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=\"Akar bilangan kompleks dalam bentuk polar\" class=\"wp-image-11344 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Kemudian kita nyatakan hasilnya dalam bentuk trigonometri dan binomial. <\/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=\"Akar bilangan kompleks dalam bentuk binomial\" class=\"wp-image-11345 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Dan terakhir, kami membuat grafik solusi dalam bidang kompleks. <\/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=\"Menggambar akar yang kompleks\" 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\"> menunjukkan solusinya<\/div>\n<div class=\"su-expand-link su-expand-link-less\" style=\"text-align:center\"> Tampilkan lebih sedikit<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"> <span id=\"Mas_sobre_raices_de_numeros_complejos\">Pelajari tentang akar bilangan kompleks<\/span><\/h2>\n<ul>\n<li> <a href=\"https:\/\/mathority.org\/id\/bilangan-kompleks\/\" target=\"_blank\" rel=\"noreferrer noopener\">Bilangan kompleks<\/a><\/li>\n<li> <a href=\"https:\/\/mathority.org\/id\" target=\"_blank\" rel=\"noreferrer noopener\">Operasi pada bilangan kompleks<\/a><\/li>\n<li> <a href=\"https:\/\/mathority.org\/id\/pangkat-bilangan-kompleks\/\" target=\"_blank\" rel=\"noreferrer noopener\">kekuatan yang kompleks<\/a><\/li>\n<li> <a href=\"https:\/\/mathority.org\/id\/sifat-sifat-bilangan-kompleks\/\" target=\"_blank\" rel=\"noreferrer noopener\">Sifat-sifat bilangan kompleks<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Menghitung akar bilangan kompleks cukup sederhana. Nah, setelah Anda memahami prosedurnya, itu cukup berulang. Selanjutnya akan kami jelaskan dan kami berikan contohnya, sehingga Anda dapat mempelajari cara menerapkannya dalam latihan nyata. akar ke-n bilangan kompleks Konsep akar ke-n setara dengan akar orde n, oleh karena itu, metode yang sama digunakan untuk menghitung akar kuadrat dan &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/\"> <span class=\"screen-reader-text\">Akar bilangan kompleks<\/span> Selengkapnya &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":[59,41],"tags":[],"class_list":["post-180","post","type-post","status-publish","format-standard","hentry","category-hitung","category-penjelasan-matematis"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Akar bilangan kompleks - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Akar bilangan kompleks - Mathority\" \/>\n<meta property=\"og:description\" content=\"Menghitung akar bilangan kompleks cukup sederhana. 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Selanjutnya akan kami jelaskan dan kami berikan contohnya, sehingga Anda dapat mempelajari cara menerapkannya dalam latihan nyata. akar ke-n bilangan kompleks Konsep akar ke-n setara dengan akar orde n, oleh karena itu, metode yang sama digunakan untuk menghitung akar kuadrat dan &hellip; Akar bilangan kompleks Selengkapnya &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-15T13:24:09+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/nombre-sous-forme-polaire.webp\" \/>\n<meta name=\"author\" content=\"Tim Mathority\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Tim Mathority\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/\"},\"author\":{\"name\":\"Tim Mathority\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\"},\"headline\":\"Akar bilangan kompleks\",\"datePublished\":\"2023-07-15T13:24:09+00:00\",\"dateModified\":\"2023-07-15T13:24:09+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/\"},\"wordCount\":466,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/id\/#organization\"},\"articleSection\":[\"Hitung\",\"Penjelasan matematis\"],\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/\",\"url\":\"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/\",\"name\":\"Akar bilangan kompleks - 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Nah, setelah Anda memahami prosedurnya, itu cukup berulang. Selanjutnya akan kami jelaskan dan kami berikan contohnya, sehingga Anda dapat mempelajari cara menerapkannya dalam latihan nyata. akar ke-n bilangan kompleks Konsep akar ke-n setara dengan akar orde n, oleh karena itu, metode yang sama digunakan untuk menghitung akar kuadrat dan &hellip; Akar bilangan kompleks Selengkapnya &raquo;","og_url":"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/","article_published_time":"2023-07-15T13:24:09+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/nombre-sous-forme-polaire.webp"}],"author":"Tim Mathority","twitter_card":"summary_large_image","twitter_misc":{"Ditulis oleh":"Tim Mathority","Estimasi waktu membaca":"2 menit"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/"},"author":{"name":"Tim Mathority","@id":"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38"},"headline":"Akar bilangan kompleks","datePublished":"2023-07-15T13:24:09+00:00","dateModified":"2023-07-15T13:24:09+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/"},"wordCount":466,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/id\/#organization"},"articleSection":["Hitung","Penjelasan matematis"],"inLanguage":"id","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/","url":"https:\/\/mathority.org\/id\/akar-bilangan-kompleks\/","name":"Akar bilangan kompleks - 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