{"id":306009,"date":"2022-04-17T14:07:09","date_gmt":"2022-04-17T07:07:09","guid":{"rendered":"https:\/\/quipperhome.wpcomstaging.com\/?p=306009"},"modified":"2023-02-07T15:43:32","modified_gmt":"2023-02-07T08:43:32","slug":"bentuk-akar","status":"publish","type":"post","link":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/matematika\/bentuk-akar\/","title":{"rendered":"Bentuk Akar: Sifat, Operasi dan Cara Merasionalkannya"},"content":{"rendered":"\n<figure class=\"wp-block-image\"><img fetchpriority=\"high\" decoding=\"async\" width=\"800\" height=\"533\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/Bentuk-Akar-Matematika-Kelas-9-copy-2.webp\" alt=\"\" class=\"wp-image-306034\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/Bentuk-Akar-Matematika-Kelas-9-copy-2.webp 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/Bentuk-Akar-Matematika-Kelas-9-copy-2-768x512.webp 768w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/Bentuk-Akar-Matematika-Kelas-9-copy-2-585x390.webp?crop=1 585w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/Bentuk-Akar-Matematika-Kelas-9-copy-2-263x175.webp?crop=1 263w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jika Quipperian diminta untuk mencari luas persegi atau volume kubus, tentu sudah mahir kan, ya? Namun, bagaimana jika yang diminta adalah sisi persegi atau panjang rusuk kubus? Untuk mencarinya, kamu harus memahami bentuk akar. Daripada penasaran, yuk segera simak pembahasan lengkapnya di bawah ini, Quipperian!<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Pengertian Bentuk Akar<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Bentuk akar adalah suatu bilangan irasional hasil pengakaran bilangan rasional. Bilangan rasional adalah bilangan yang bisa dibandingkan dengan bilangan lain dan biasanya berupa bilangan bulat, contohnya 2, 4, 16, 17, 21, dan sebagainya.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sementara itu, bilangan irasional adalah bilangan yang tidak berupa bilangan bulat dan tidak bisa dinyatakan sebagai pecahan, contoh 1,41; 2,17; 17,91; dan sebagainya.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Operasi bentuk ini merupakan kebalikan dari bilangan berpangkat, misalnya <\/span><em><span style=\"font-weight: 400;\">y=<\/span><span style=\"font-weight: 400;\">x<\/span><sup><span style=\"font-weight: 400;\">2<\/span><\/sup><span style=\"font-weight: 400;\">\u2194x=\u221a<\/span><\/em><span style=\"font-weight: 400;\"><em>y<\/em>. <\/span><span style=\"font-weight: 400;\"> Bentuk<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">y <\/span><span style=\"font-weight: 400;\"> inilah yang disebut sebagai bentuk akar. Mengapa disebut demikian? <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Karena bilangannya berada di dalam tanda akar <\/span><span style=\"font-weight: 400;\">(<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">). Cara membaca<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">y <\/span><span style=\"font-weight: 400;\"> adalah \u201cakar <\/span><em><span style=\"font-weight: 400;\">y<\/span><\/em><span style=\"font-weight: 400;\">\u201d. <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Contoh<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">y <\/span><span style=\"font-weight: 400;\"> adalah<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\">,&nbsp;<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">5<\/span><span style=\"font-weight: 400;\">,&nbsp;<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">7<\/span><span style=\"font-weight: 400;\">, dan sebagainya. Berdasarkan pengertiannya, bentuk ini hanya diisi oleh bilangan yang hasil pengakarannya berupa bilangan irasional, misalnya<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> . <\/span><span style=\"font-weight: 400;\">Hasil dari<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">3<\/span> <span style=\"font-weight: 400;\">adalah 1,73205081. <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Lantas, bagaimana dengan<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">36 <\/span><span style=\"font-weight: 400;\">? Ternyata,<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">36 <\/span><span style=\"font-weight: 400;\"> belum bisa dikatakan sebagai bentuk akar karena hasil pengakarannya tidak berupa bilangan irasional,<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">36 <\/span><span style=\"font-weight: 400;\">=6.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Nah<\/span><em><span style=\"font-weight: 400;\">,<\/span><\/em><span style=\"font-weight: 400;\"> angka 6 merupakan bilangan rasional.<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Sifat-Sifatnya<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Adapun sifat-sifatnya adalah sebagai berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"366\" height=\"154\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/bentuk-akar-a1.webp\" alt=\"\" class=\"wp-image-306021\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Operasi Bentuk Akar<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sama seperti bilangan bulat, bentuk akar juga bisa dioperasikan baik dengan bentuk akar lain maupun dengan bilangan real. Adapun operasinya adalah sebagai berikut.<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. Penjumlahan<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Penjumlahan hanya bisa dilakukan jika angka yang berada di dalam tanda akar nilainya sama. Bentuk penjumlahannya adalah sebagai berikut.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">p<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">x&nbsp;<\/span><span style=\"font-weight: 400;\">+ q<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">x&nbsp;<\/span><span style=\"font-weight: 400;\">= (<\/span><span style=\"font-weight: 400;\">p+q)<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">x<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Contoh:<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\"><em>\u221a<\/em>2&nbsp;<\/span><span style=\"font-weight: 400;\">+&nbsp;<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">2 = (<\/span><span style=\"font-weight: 400;\">1+1)<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">=2<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">2<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">2<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">5&nbsp;<\/span><span style=\"font-weight: 400;\">+3<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">5&nbsp;<\/span><span style=\"font-weight: 400;\">= (<\/span><span style=\"font-weight: 400;\">2+3)<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">5<\/span><span style=\"font-weight: 400;\">=5<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">5<\/span><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Penjumlahan tidak bisa dilakukan pada:<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">Bentuk akar dan bilangan bulat biasa, misalnya,<\/span> <em>\u221a<\/em><span style=\"font-weight: 400;\">2&nbsp;<\/span><span style=\"font-weight: 400;\">+ 2<\/span><span style=\"font-weight: 400;\"> ; dan<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">Antarbentuk akar yang tidak sama bilangan pokoknya, misalnya<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">2&nbsp;<\/span><span style=\"font-weight: 400;\">+&nbsp;<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\">.<\/span><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. Pengurangan<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Konsep pengurangan sama seperti penjumlahan, yaitu hanya bisa dilakukan pada dua bentuk akar atau lebih yang bilangan pokoknya sama. Bentuk pengurangannya adalah sebagai berikut.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">p<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">x&nbsp;<\/span><span style=\"font-weight: 400;\">&#8211; q<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">x&nbsp;<\/span><span style=\"font-weight: 400;\">= (<\/span><span style=\"font-weight: 400;\">p-q)<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">x<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Contoh:<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">2<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">2&nbsp;<\/span><span style=\"font-weight: 400;\">&#8211;&nbsp;<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">2&nbsp;<\/span><span style=\"font-weight: 400;\">= (<\/span><span style=\"font-weight: 400;\">2-1)<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">2&nbsp;<\/span><span style=\"font-weight: 400;\">=&nbsp;<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">2<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">2<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">5&nbsp;<\/span><span style=\"font-weight: 400;\">&#8211; 3<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">5&nbsp;<\/span><span style=\"font-weight: 400;\">= (<\/span><span style=\"font-weight: 400;\">2-3)<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">5&nbsp;<\/span><span style=\"font-weight: 400;\">= &#8211;<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">5<\/span><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>3. Perk<\/strong>a<strong>lian<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Konsep perkalian bentuk ini berbeda dengan penjumlahan dan pengurangan. Hal itu karena perkalian bisa dilakukan antara bentuk akar dan bilangan nonakar, baik pecahan maupun bilangan bulat. Bentuk perkaliannya adalah sebagai berikut.<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">p<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">x&nbsp;<\/span><span style=\"font-weight: 400;\">\u00d7 q = (<\/span><span style=\"font-weight: 400;\">p\u00d7q)<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">x<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">p<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">x&nbsp;<\/span><span style=\"font-weight: 400;\">\u00d7 q<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">y&nbsp;<\/span><span style=\"font-weight: 400;\">= (<\/span><span style=\"font-weight: 400;\">p\u00d7q)<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">xy<\/span><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Contoh perkaliannya adalah sebagai berikut.<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">4<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">7&nbsp;<\/span><span style=\"font-weight: 400;\">\u00d7 2 = (<\/span><span style=\"font-weight: 400;\">4\u00d72)<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">7&nbsp;<\/span><span style=\"font-weight: 400;\">= 8<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">7<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\"><em>\u221a<\/em>3&nbsp;<\/span><span style=\"font-weight: 400;\">\u00d7 2<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">11&nbsp;<\/span><span style=\"font-weight: 400;\">= (<\/span><span style=\"font-weight: 400;\">1\u00d72)<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">33&nbsp;<\/span><span style=\"font-weight: 400;\">= 2<em>\u221a<\/em><\/span><span style=\"font-weight: 400;\">33<\/span><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">3. Pembagian<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Konsep pembagian, hampir sama dengan perkalian. Namun, pembagian bisa menghasilkan pecahan yang penyebutnya memuat bentuk akar. Jika berbentuk demikian, maka pecahan harus dirasionalkan penyebutnya. Adapun bentuk pembagiannya adalah sebagai berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"230\" height=\"171\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/Bentuk-Akar-a.webp\" alt=\"\" class=\"wp-image-306029\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/Bentuk-Akar-a.webp 230w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/Bentuk-Akar-a-200x150.webp?crop=1 200w\" sizes=\"(max-width: 230px) 100vw, 230px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Contoh:<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"245\" height=\"171\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/Bentuk-Akar-b.webp\" alt=\"\" class=\"wp-image-306028\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Cara Merasionalkan Bentuk Akar<\/h2>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"635\" height=\"467\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/Bentuk-Akar-c.webp\" alt=\"\" class=\"wp-image-306027\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"624\" height=\"225\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/Bentuk-Akar-d.webp\" alt=\"\" class=\"wp-image-306026\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"642\" height=\"509\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/Bentuk-Akar-e.webp\" alt=\"\" class=\"wp-image-306025\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"616\" height=\"230\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/Bentuk-Akar-f.webp\" alt=\"\" class=\"wp-image-306024\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Agar Quipperian semakin paham materi kali ini, yuk simak contoh soal berikut.<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Contoh Soal 1<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pak Kusman memiliki kebun yang ukuran panjangnya (<\/span><span style=\"font-weight: 400;\">3\u221a<\/span><span style=\"font-weight: 400;\">5&nbsp;<\/span><span style=\"font-weight: 400;\">+&nbsp;\u221a<\/span><span style=\"font-weight: 400;\">3)<\/span><span style=\"font-weight: 400;\"> m dan lebarnya <\/span><span style=\"font-weight: 400;\">2\u221a<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> m. Tentukan luas kebun Pak Kusman!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pembahasan:<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Diketahui:<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em><span style=\"font-weight: 400;\">p<\/span><\/em><span style=\"font-weight: 400;\"> = <\/span><span style=\"font-weight: 400;\">3\u221a<\/span><span style=\"font-weight: 400;\">5&nbsp;<\/span><span style=\"font-weight: 400;\">+&nbsp;\u221a<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> m<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em><span style=\"font-weight: 400;\">l<\/span><\/em><span style=\"font-weight: 400;\"> = <\/span><span style=\"font-weight: 400;\">2\u221a<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> m<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Ditanya: <\/span><em><span style=\"font-weight: 400;\">L<\/span><\/em><span style=\"font-weight: 400;\"> =\u2026?<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Penyelesaian:<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Untuk mencari luas kebun Pak Kusman, Quipperian harus menggunakan operasi perkalian yang melibatkan bentuk akar.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em><span style=\"font-weight: 400;\">L <\/span><\/em><span style=\"font-weight: 400;\">= <\/span><em><span style=\"font-weight: 400;\">p <\/span><\/em><span style=\"font-weight: 400;\">\u00d7<\/span> <em><span style=\"font-weight: 400;\">l<\/span><\/em><span style=\"font-weight: 400;\">&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">&nbsp;&nbsp;= (<\/span><span style=\"font-weight: 400;\">3\u221a<\/span><span style=\"font-weight: 400;\">5&nbsp;<\/span><span style=\"font-weight: 400;\">+&nbsp;\u221a<\/span><span style=\"font-weight: 400;\">3)<\/span> <span style=\"font-weight: 400;\">\u00d7 <\/span><span style=\"font-weight: 400;\">2\u221a<\/span><span style=\"font-weight: 400;\">3<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">=<\/span>&nbsp;(<span style=\"font-weight: 400;\">3\u221a<\/span><span style=\"font-weight: 400;\">5 x&nbsp;<\/span><span style=\"font-weight: 400;\">2\u221a<\/span><span style=\"font-weight: 400;\">3)&nbsp;<\/span><span style=\"font-weight: 400;\">+ (\u221a<\/span><span style=\"font-weight: 400;\">3 x&nbsp;<\/span><span style=\"font-weight: 400;\">2\u221a<\/span><span style=\"font-weight: 400;\">3)<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">&nbsp;= (<\/span><span style=\"font-weight: 400;\">6\u221a<\/span><span style=\"font-weight: 400;\">15 +&nbsp;<\/span><span style=\"font-weight: 400;\">6)<\/span><span style=\"font-weight: 400;\"> m<\/span><sup><span style=\"font-weight: 400;\">2<\/span><\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, luas kebun Pak Kusman adalah (<\/span><span style=\"font-weight: 400;\">6\u221a<\/span><span style=\"font-weight: 400;\">15&nbsp;<\/span><span style=\"font-weight: 400;\">+ 6)<\/span><span style=\"font-weight: 400;\"> m<\/span><sup><span style=\"font-weight: 400;\">2<\/span><\/sup><span style=\"font-weight: 400;\">.<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Contoh Soal 2<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sebuah segitiga memiliki tinggi <\/span><span style=\"font-weight: 400;\">2\u221a<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> cm. Jika luas segitiga tersebut 6 cm<\/span><sup><span style=\"font-weight: 400;\">2<\/span><\/sup><span style=\"font-weight: 400;\">, tentukan panjang alasnya!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pembahasan:<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Diketahui:<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em><span style=\"font-weight: 400;\">t<\/span><\/em><span style=\"font-weight: 400;\"> = <\/span><span style=\"font-weight: 400;\">2\u221a<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> cm<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em><span style=\"font-weight: 400;\">L<\/span><\/em><span style=\"font-weight: 400;\"> = 6 cm<\/span><sup><span style=\"font-weight: 400;\">2<\/span><\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Ditanya: <\/span><em><span style=\"font-weight: 400;\">a<\/span><\/em><span style=\"font-weight: 400;\"> =\u2026?<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Penyelesaian:<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Untuk mencari panjang alas segitiga, Quipperian harus memahami konsep operasi pembagian beserta cara merasionalkan bentuk akar pada penyebutnya.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"634\" height=\"367\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/Bentuk-Akar-g.webp\" alt=\"\" class=\"wp-image-306023\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi, panjang alas segitiga tersebut adalah 3\u221a2 m.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Contoh Soal 3<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sebuah persegi memiliki luas alas 72 cm<\/span><sup><span style=\"font-weight: 400;\">2<\/span><\/sup><span style=\"font-weight: 400;\">. Tentukan panjang sisi persegi tersebut!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pembahasan:<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Untuk mencari panjang sisi persegi, Quipperian harus memahami sifat-sifat perkalian pada bentuk akar.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"338\" height=\"220\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/Bentuk-Akar-h.webp\" alt=\"\" class=\"wp-image-306022\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"><br><\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, panjang sisi perseginya adalah <\/span><span style=\"font-weight: 400;\">6\u221a<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> cm.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Itulah pembahasan Quipper Blog kali ini. Semoga bisa bermanfaat buat Quipperian. Jika Quipperian ingin mendapatkan materi lengkapnya, silahkan gabung bersama <a href=\"https:\/\/subscribe.quipper.com\/signup\/id\"><strong>Quipper Video<\/strong><\/a>. Bersama Quipper Video, belajar jadi lebih mudah dan menyenangkan. Salam Quipper!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Penulis: Eka Viandari<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Jika Quipperian diminta untuk mencari luas persegi atau volume kubus, tentu sudah mahir kan, ya? Namun, bagaimana jika yang diminta adalah sisi persegi atau&hellip;<\/p>\n","protected":false},"author":99400369,"featured_media":306034,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[679384865],"tags":[],"ppma_author":[679386827,679386836],"class_list":["post-306009","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Bentuk Akar: Sifat, Operasi dan Cara Merasionalkannya - Quipper Blog<\/title>\n<meta name=\"description\" content=\"Bentuk akar adalah suatu bilangan irasional hasil pengakaran bilangan rasional, simak pembahasan sifat, operasi dan cara merasionalkan bentuk akar beserta contoh soal pembahasannya\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/bentuk-akar\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bentuk Akar: Sifat, Operasi dan Cara Merasionalkannya - 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