{"id":11514,"date":"2019-09-16T17:08:31","date_gmt":"2019-09-16T20:08:31","guid":{"rendered":"https:\/\/beduka.com\/blog\/?p=11514"},"modified":"2021-08-10T21:18:31","modified_gmt":"2021-08-11T00:18:31","slug":"exercicios-sobre-radiciacao","status":"publish","type":"post","link":"https:\/\/beduka.com\/blog\/exercicios\/matematica-exercicios\/exercicios-sobre-radiciacao\/","title":{"rendered":"Os 7 melhores exerc\u00edcios sobre Radicia\u00e7\u00e3o com gabarito!"},"content":{"rendered":"\n<blockquote class=\"wp-block-quote\"><p><strong><em>A radicia\u00e7\u00e3o \u00e9 a maneira de acharmos a raiz de um n\u00famero. Isso significa que vamos fazer um processo contr\u00e1rio a pot\u00eancia de expoente dois. Ainda n\u00e3o entendeu? Leia nosso resumo para relembrar e treine com os melhores exerc\u00edcios sobre Radicia\u00e7\u00e3o. Tem gabarito ao final!<\/em><\/strong><\/p><\/blockquote>\n\n\n\n<p>Neste artigo, voc\u00ea encontrar\u00e1 todos os temas abaixo. <strong>Clique em um dos t\u00f3picos para ir direto ao conte\u00fado da sua escolha:<\/strong><\/p>\n\n\n\n<ul><li><a href=\"#1\">O que \u00e9 Radicia\u00e7\u00e3o?<\/a><\/li><li><a href=\"#2\">Aprenda de modo informal!<\/a><\/li><li><a href=\"#3\">Explica\u00e7\u00e3o formal sobre raiz!<\/a><\/li><li><a href=\"#4\">Lista de exerc\u00edcios sobre Radicia\u00e7\u00e3o!<\/a><\/li><li><a href=\"#5\">Gabarito dos exerc\u00edcios de Radicia\u00e7\u00e3o.<\/a><\/li><\/ul>\n\n\n\n<p>Quando voc\u00ea terminar as quest\u00f5es sobre Radicia\u00e7\u00e3o, coloque em pr\u00e1tica todo seu conhecimento com <a href=\"https:\/\/beduka.com\/simulado-enem\/#\/\" target=\"_blank\" rel=\"noreferrer noopener\">O Melhor Simulado Enem do Brasil.<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"1\">O que \u00e9 Radicia\u00e7\u00e3o?<\/h2>\n\n\n\n<p>A<strong><a href=\"https:\/\/beduka.com\/blog\/materias\/matematica\/radiciacao\/\" data-type=\"post\" data-id=\"19452\" target=\"_blank\" rel=\"noreferrer noopener\"> radicia\u00e7\u00e3o<\/a><\/strong> \u00e9 a maneira utilizada para conhecermos a raiz de um n\u00famero, ela \u00e9 representada por meio de expoentes fracion\u00e1rios, sendo a opera\u00e7\u00e3o inversa da potencia\u00e7\u00e3o.<\/p>\n\n\n\n<p>A radicia\u00e7\u00e3o \u00e9 bastante utilizada para encontrar resultados de equa\u00e7\u00f5es e simplificar express\u00f5es aritm\u00e9ticas e alg\u00e9bricas.<\/p>\n\n\n\n<ul><li>S\u00e3o mais de 200 resumos no <a href=\"https:\/\/www.instagram.com\/beduka_oficial\/\" target=\"_blank\" rel=\"noreferrer noopener\">Instagram do Beduka<\/a>!<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2\">Aprenda de modo informal!<\/h2>\n\n\n\n<p>A raiz de 1 \u00e9 1, porque 1 x 1 = 1.<\/p>\n\n\n\n<p>A raiz de 4 \u00e9 2, porque 2 x 2 = 4.<\/p>\n\n\n\n<p>A raiz de 9 \u00e9 3, porque 3 x 3 = 9.<\/p>\n\n\n\n<p>A raiz de 16 \u00e9 4, porque 4 x 4 = 16. <\/p>\n\n\n\n<p> A raiz de 25 \u00e9 5, porque 5 x 5 = 25. <\/p>\n\n\n\n<p> A raiz de 36 \u00e9 6, porque 6 x 6 = 36. <\/p>\n\n\n\n<p> A raiz de 49 \u00e9 7, porque 7 x 7 = 49. <\/p>\n\n\n\n<p> A raiz de 64 \u00e9 8, porque 8 x 8 = 64. <\/p>\n\n\n\n<p> A raiz de 81 \u00e9 9, porque 9 x 9 = 81. <\/p>\n\n\n\n<p> A raiz de 100 \u00e9 10, porque 10 x 10 = 100. <\/p>\n\n\n\n<p> A raiz de 121 \u00e9 11, porque 11 x 11 = 121. <\/p>\n\n\n\n<p> A raiz de 144 \u00e9 12, porque 12 x 12 = 144. <\/p>\n\n\n\n<p> A raiz de 169 \u00e9 13, porque 13 x 13 = 169. <\/p>\n\n\n\n<p>Entendeu o que \u00e9 a raiz? \u00c9 o contr\u00e1rio da <a href=\"https:\/\/beduka.com\/blog\/materias\/matematica\/potenciacao\/\" data-type=\"post\" data-id=\"17269\">potencia\u00e7\u00e3o<\/a> quadrada. Ao pensar a raiz de um n\u00famero, voc\u00ea tem que pensar em qual n\u00famero multiplicado por ele mesmo resulta no n\u00famero cuja raiz voc\u00ea quer descobrir.<\/p>\n\n\n\n<p>Se o n\u00famero for muito grande, ser\u00e1 preciso fator\u00e1-lo para descobrir a raiz.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3\">Explica\u00e7\u00e3o formal sobre raiz!<\/h2>\n\n\n\n<p>Dado um n\u00famero real positivo<strong> x<\/strong> e um n\u00famero maior ou igual a <strong>1<\/strong>, denomina-se r<strong>aiz en\u00e9sima de x o n\u00famero real positivo y<\/strong>, de modo que<strong> y<\/strong><strong><sup>n<\/sup><\/strong><strong> = x<\/strong>.&nbsp;<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/JV31oPiXgexA4WhUrRHEMYh15-JJpAtNfUBJI7VxEqNtb8i89mc8t4PJRA8_ekbIJ1zwWYmvQTc3BEqBw_flDdnXwvG1e5G5lx22gTpDstwt6k6pWk5AlLWnlc_QbYaMiUyYHzkB\" alt=\"\"\/><\/figure><\/div>\n\n\n\n<p>Para representar a raiz en\u00e9sima de x utilizamos  e \u00e9 denominado de radical, sendo o <strong>x<\/strong> radicando e o <strong>n<\/strong> o ind\u00edce.<br><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/FHNEHuu8QrOU4brt9pDNFbY8YS7HGwwaRCkjukmtLToxNuVQF5wZ9h2InGT_-kE8zrDFdkVQY-8KdQGtvMtnLjP6XnV0e38DSSocOBYcnVchYa37mzn4WyV2-GS7piokldAld7Pw\" alt=\"\"\/><\/figure><\/div>\n\n\n\n<p>Assim radicia\u00e7\u00e3o \u00e9 compreendida .<br><\/p>\n\n\n\n<p>Ent\u00e3o, podemos concluir que a radicia\u00e7\u00e3o \u00e9 a opera\u00e7\u00e3o utilizada para encontrar o n\u00famero que multiplicado por ele mesmo uma determinada quantidade de vezes d\u00e1 o valor que queremos encontrar.<\/p>\n\n\n\n<ul><li><strong>Exemplo<\/strong>:<\/li><\/ul>\n\n\n\n<p>Qual o n\u00famero que <strong>multiplicado por ele mesmo<\/strong> quatro vezes d\u00e1 como resultado 16?<\/p>\n\n\n\n<p>Por tentativa podemos descobrir que:<\/p>\n\n\n\n<p class=\"has-text-align-center\">2 x 2 x 2 x 2 = 16<\/p>\n\n\n\n<p>Logo, o 2 \u00e9 o n\u00famero que estamos procurando.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4\">Exerc\u00edcios sobre Radicia\u00e7\u00e3o<\/h2>\n\n\n\n<p>Esperamos que, com esse resumo, tudo <strong>tenha ficado mais claro<\/strong> para voc\u00ea.<\/p>\n\n\n\n<p><strong>Parab\u00e9ns<\/strong> por ter lido at\u00e9 aqui!<\/p>\n\n\n\n<p><strong>Baixe gratuitamente<\/strong> o <a rel=\"noreferrer noopener\" href=\"https:\/\/beduka.com\/blog\/dicas\/enem-dicas\/plano-de-estudos-gratuito\/\" target=\"_blank\">Plano de Estudos<\/a> do Beduka e tenha uma <strong>prepara\u00e7\u00e3o perfeita<\/strong> para o ENEM.<\/p>\n\n\n\n<p><strong>Quest\u00e3o<\/strong> <strong>1 &#8211; <a rel=\"noreferrer noopener\" aria-label=\"(Mack)  (abre numa nova aba)\" href=\"https:\/\/www.mackenzie.br\/\" target=\"_blank\">(Mack) <\/a><\/strong><\/p>\n\n\n\n<p>O valor de \u221a2 + \u221a3.\u221a18 \u00e9 igual a:<br><\/p>\n\n\n\n<p><strong>a)<\/strong> \u221a56.<\/p>\n\n\n\n<p><strong>b)<\/strong> \u221a108.<\/p>\n\n\n\n<p><strong>c) <\/strong>\u221a2 + 54.<\/p>\n\n\n\n<p><strong>d)<\/strong> \u221a6 + 6.<\/p>\n\n\n\n<p><strong>e)<\/strong> \u221a2.(1 + 3.\u221a3).<br><\/p>\n\n\n\n<p><strong>Quest\u00e3o<\/strong> <strong>2 &#8211; <a rel=\"noreferrer noopener\" aria-label=\"(FGV) (abre numa nova aba)\" href=\"https:\/\/portal.fgv.br\/\" target=\"_blank\">(FGV)<\/a> <\/strong><\/p>\n\n\n\n<p>Simplificando-se 2\u221a3 + 2\u221a12 \u2013 2\u221a75 obt\u00e9m-se:<br><\/p>\n\n\n\n<p><strong>a)<\/strong> 0.<\/p>\n\n\n\n<p><strong>b)<\/strong> \u2013 2\u221a3.<\/p>\n\n\n\n<p><strong>c) <\/strong>\u2013 4\u221a3.<\/p>\n\n\n\n<p><strong>d)<\/strong> \u2013 6\u221a3.<\/p>\n\n\n\n<p><strong>e)<\/strong> \u2013 8\u221a3.<br><\/p>\n\n\n\n<p><strong>Quest\u00e3o<\/strong> <strong>3 &#8211; <a rel=\"noreferrer noopener\" aria-label=\"(UTF - PR) (abre numa nova aba)\" href=\"http:\/\/portal.utfpr.edu.br\/\" target=\"_blank\">(UTF &#8211; PR)<\/a><\/strong><\/p>\n\n\n\n<p>Considere as seguintes express\u00f5es:<br><\/p>\n\n\n\n<p>I.  <\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/odpUyWidEL14AsikuO61wSZj9iZxd5JAvTO4OkrS8HJbM6wztptraIfXgAxIr8XKYZB4esNlpsaumtlT73p6yUnRtY_VfehxFyZKwmikTpG-9JWtfZETdLctcMmrK-mHai3Cb0fa\" alt=\"\"\/><\/figure>\n\n\n\n<p>\n\nII. \n\n<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/RLZlNb5vGP8zh8PHTmKuTaI6quLdT8EOERMJzFF2hQAErLRc2gfVNXJmSsbBlTsVWZHJvoUzFTl1iImik7IKdUg7iguV4136JdbRdO60wONpQEJIVCazQN4RY5Uqdfqq2tdwe2QA\" alt=\"\"\/><\/figure>\n\n\n\n<p>\n\nIII. \n\n<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/KezvVAtI9RD1fYNp0RMSgOShF9iAicvA68mBQMozMD3r_qY3CIE6ucoFsO0sbmDXb480vq1L57TnXYnfhDm5juuM6LlA2HhVnjlIbuXMnWLpXGzoTVucsINgs319VpE1rYd7hgUI\" alt=\"\"\/><\/figure>\n\n\n\n<p>\u00c9 (s\u00e3o) verdadeira(s), somente:<br><\/p>\n\n\n\n<p><strong>a)<\/strong> I.<\/p>\n\n\n\n<p><strong>b) <\/strong>II.<\/p>\n\n\n\n<p><strong>c) <\/strong>III.<\/p>\n\n\n\n<p><strong>d) <\/strong>I e II.<\/p>\n\n\n\n<p><strong>e) <\/strong>I e III.<\/p>\n\n\n\n<ul><li>Muito bem! <strong>Voc\u00ea est\u00e1 na metade<\/strong> das quest\u00f5es de Radicia\u00e7\u00e3o!<\/li><\/ul>\n\n\n\n<p><strong>Quest\u00e3o<\/strong> <strong>4 &#8211; <a rel=\"noreferrer noopener\" aria-label=\"(UFRGS) (abre numa nova aba)\" href=\"http:\/\/www.ufrgs.br\/ufrgs\/inicial\" target=\"_blank\">(UFRGS)<\/a> <\/strong><\/p>\n\n\n\n<p>A express\u00e3o \u00e9 igual a:<br><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" loading=\"lazy\" width=\"103\" height=\"42\" src=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2019\/09\/radicia\u00e7\u00e3o.png\" alt=\"exerc\u00edcios de radicia\u00e7\u00e3o\" class=\"wp-image-11516\"\/><\/figure><\/div>\n\n\n\n<p><strong>a)<\/strong> \u221a2 + 3\u221a3 \/\u00a0\u00a04\u221a2.<\/p>\n\n\n\n<p><strong>b)<\/strong> 5\u221a2.<\/p>\n\n\n\n<p><strong>c)<\/strong> \u221a3.<\/p>\n\n\n\n<p><strong>d)<\/strong> 8\u221a2.<\/p>\n\n\n\n<p><strong>e)<\/strong> 1.<br><\/p>\n\n\n\n<p><strong>Quest\u00e3o<\/strong> <strong>5 &#8211; <a rel=\"noreferrer noopener\" aria-label=\"IFSC 2018 (abre numa nova aba)\" href=\"https:\/\/www.ifsc.edu.br\/inicio\" target=\"_blank\">IFSC 2018<\/a> <\/strong><\/p>\n\n\n\n<p>Analise as afirma\u00e7\u00f5es seguintes:<br><\/p>\n\n\n\n<p><strong>I.<\/strong> \u221252 \u2212 \u221a16 \u2219 (\u221210) \u00f7 (\u221a5)2 = \u221217<\/p>\n\n\n\n<p><strong>II.<\/strong> 35 \u00f7 (3 + \u221a81 \u221223 + 1) \u00d7 2 = 10<\/p>\n\n\n\n<p><strong>III.<\/strong> Efetuando-se (3 + \u221a5)(3 \u2212 \u221a5) , obt\u00e9m-se um n\u00famero m\u00faltiplo de 2.<br><\/p>\n\n\n\n<p>Assinale a alternativa CORRETA.<br><\/p>\n\n\n\n<p><strong>a)<\/strong> Todas s\u00e3o verdadeiras.<\/p>\n\n\n\n<p><strong>b)<\/strong> Apenas I e III s\u00e3o verdadeiras.<\/p>\n\n\n\n<p><strong>c)<\/strong> Todas s\u00e3o falsas.<\/p>\n\n\n\n<p><strong>d)<\/strong> Apenas uma das afirma\u00e7\u00f5es \u00e9 verdadeira.<\/p>\n\n\n\n<p><strong>e)<\/strong> Apenas II e III s\u00e3o verdadeiras.<br><\/p>\n\n\n\n<ul><li><strong>Ufa, estamos quase l\u00e1! <\/strong>Fa\u00e7a os dois \u00faltimos exerc\u00edcios sobre Radicia\u00e7\u00e3o!<\/li><\/ul>\n\n\n\n<p><strong>Quest\u00e3o<\/strong> <strong>6 &#8211; <a rel=\"noreferrer noopener\" aria-label=\"CEFET\/MG - 2018 (abre numa nova aba)\" href=\"https:\/\/www.cefetmg.br\" target=\"_blank\">CEFET\/MG &#8211; 2018<\/a> <\/strong><\/p>\n\n\n\n<p>Se ,<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" loading=\"lazy\" width=\"233\" height=\"19\" src=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2019\/09\/radicia\u00e7\u00e3o-enem.png\" alt=\"radicia\u00e7\u00e3o enem\" class=\"wp-image-11520\"\/><\/figure><\/div>\n\n\n\n<p> ent\u00e3o o valor da express\u00e3o x2 + 2xy +y2 \u2013 z2 \u00e9<br><\/p>\n\n\n\n<p><strong>a) <\/strong>3\u221a3.<\/p>\n\n\n\n<p><strong>b)<\/strong> \u221a3.<\/p>\n\n\n\n<p><strong>c)<\/strong> 3.<\/p>\n\n\n\n<p><strong>d) <\/strong>0.<br><\/p>\n\n\n\n<p><strong>Quest\u00e3o<\/strong> <strong>7 &#8211; <a rel=\"noreferrer noopener\" aria-label=\"CEFET\/RJ - 2014 (abre numa nova aba)\" href=\"http:\/\/www.cefet-rj.br\/\" target=\"_blank\">CEFET\/RJ &#8211; 2014<\/a> <\/strong><\/p>\n\n\n\n<p>Por qual n\u00famero devemos multiplicar o n\u00famero 0,75 de modo que a raiz quadrada do produto obtido seja igual a 45?<br><\/p>\n\n\n\n<p><strong>a)<\/strong> 2700.<\/p>\n\n\n\n<p><strong>b)<\/strong> 2800.<\/p>\n\n\n\n<p><strong>c)<\/strong> 2900.<\/p>\n\n\n\n<p><strong>d)<\/strong> 3000.<br><\/p>\n\n\n\n<ul><li><strong>Parab\u00e9ns, voc\u00ea fez todas as quest\u00f5es <\/strong>de Radicia\u00e7\u00e3o! Que tal conferir o gabarito logo abaixo?<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5\">Respostas dos exerc\u00edcios de Radicia\u00e7\u00e3o<\/h2>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 1 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: <strong>e)<\/strong> \u221a2.(1 + 3.\u221a3).<br><\/p>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 2 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: <strong>c)<\/strong> \u2013 4\u221a3.<br><\/p>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 3 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: <strong>b)<\/strong> II.<br><\/p>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 4 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: <strong>e)<\/strong> 1.<br><\/p>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 5 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: <strong>b)<\/strong> Apenas I e III s\u00e3o verdadeiras.<br><\/p>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 6 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: <strong>c)<\/strong> 3.<br><\/p>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 7 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: <strong>a)<\/strong> 2700.<br><\/p>\n\n\n\n<p><strong>Gostou dos nossos exerc\u00edcios de Radicia\u00e7\u00e3o?<\/strong>Confira outros artigos do nosso blog e se prepare para o Enem da melhor maneira!<\/p>\n\n\n\n<p><strong>Queremos te ajudar a encontrar a FACULDADE IDEAL! <\/strong>Logo abaixo, fa\u00e7a uma pesquisa por curso e cidade que te mostraremos todas as faculdades que podem te atender. Informamos a nota de corte, mensalidade e muito mais.<\/p>\n\n\n\n<p><strong>Experimente agora!<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A radicia\u00e7\u00e3o \u00e9 a maneira de acharmos a raiz de um n\u00famero. Isso significa que vamos fazer um processo contr\u00e1rio a pot\u00eancia de expoente dois. Ainda n\u00e3o entendeu? Leia nosso resumo para relembrar e treine com os melhores exerc\u00edcios sobre Radicia\u00e7\u00e3o. Tem gabarito ao final! Neste artigo, voc\u00ea encontrar\u00e1 todos os temas abaixo. Clique em [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":13379,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0},"categories":[610],"tags":[1414],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.10 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Os 7 melhores exerc\u00edcios sobre Radicia\u00e7\u00e3o + Gabarito!<\/title>\n<meta name=\"description\" content=\"Leia nosso resumo e teste seus conhecimentos com a lista dos 7 melhores exerc\u00edcios sobre Radicia\u00e7\u00e3o. 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