{"id":22649,"date":"2014-08-03T07:35:30","date_gmt":"2014-08-03T07:35:30","guid":{"rendered":"http:\/\/antonini.med.br\/blog\/?p=22649"},"modified":"2021-04-02T05:03:41","modified_gmt":"2021-04-02T05:03:41","slug":"reducao-de-radicais-ao-mesmo-indice","status":"publish","type":"post","link":"https:\/\/antonini.ddns.net\/?p=22649","title":{"rendered":"Redu\u00e7\u00e3o de Radicais ao mesmo \u00cdndice"},"content":{"rendered":"<p style=\"text-align: justify;\">Existem dois m\u00e9todos poss\u00edveis: Pelo MMC (m\u00ednimo m\u00faltiplo comum) ou por multiplica\u00e7\u00e3o.<!--more--><strong>1 &#8211; Por multiplica\u00e7\u00e3o<\/strong><\/p>\n<p style=\"text-align: justify;\">As multiplica\u00e7\u00f5es e divis\u00f5es de radicais devem ocorrer quando os \u00edndices das ra\u00edzes forem iguais. Nessa ocorr\u00eancia, devemos repetir o radical e multiplicar os radicandos. Vamos lembrar os elementos de um radical:<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-22654\" src=\"http:\/\/antonini.med.br\/blog\/wp-content\/uploads\/2014\/08\/Untitled-1171.jpg\" alt=\"Untitled-1(171)\" width=\"120\" height=\"96\" \/><\/p>\n<p style=\"text-align: justify;\">n: \u00edndice<br \/>\nx: radicando<br \/>\ny: expoente do radicando<\/p>\n<p style=\"text-align: justify;\">Vamos atrav\u00e9s de exemplos, determinar a forma pr\u00e1tica de redu\u00e7\u00e3o ao mesmo \u00edndice.<\/p>\n<p style=\"text-align: justify;\">Exemplo 1<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-22656\" src=\"http:\/\/antonini.med.br\/blog\/wp-content\/uploads\/2014\/08\/Untitled-868.jpg\" alt=\"Untitled-8(68)\" width=\"110\" height=\"48\" \/><\/p>\n<p style=\"text-align: justify;\">Vamos multiplicar o \u00edndice do 1\u00ba radical pelo valor do \u00edndice do 2\u00ba radical e vice-versa, introduzindo o termo multiplicador como expoente do radicando. Observe:<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-22658\" src=\"http:\/\/antonini.med.br\/blog\/wp-content\/uploads\/2014\/08\/Untitled-3117.jpg\" alt=\"Untitled-3(117)\" width=\"356\" height=\"41\" \/><\/p>\n<p style=\"text-align: justify;\">Exemplo 2<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-22660\" src=\"http:\/\/antonini.med.br\/blog\/wp-content\/uploads\/2014\/08\/Untitled-4101.jpg\" alt=\"Untitled-4(101)\" width=\"466\" height=\"34\" \/><\/p>\n<p style=\"text-align: justify;\">Exemplo 3<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-22661\" src=\"http:\/\/antonini.med.br\/blog\/wp-content\/uploads\/2014\/08\/Untitled-588.jpg\" alt=\"Untitled-5(88)\" width=\"516\" height=\"34\" \/><\/p>\n<p style=\"text-align: justify;\">Exemplo 4<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-22662\" src=\"http:\/\/antonini.med.br\/blog\/wp-content\/uploads\/2014\/08\/Untitled-771.jpg\" alt=\"Untitled-7(71)\" width=\"534\" height=\"41\" \/><\/p>\n<p style=\"text-align: justify;\">Essas t\u00e9cnicas s\u00e3o utilizadas em situa\u00e7\u00f5es nas quais os c\u00e1lculos evidenciados, se representam por meio de elementos ligados a radicais. Por exemplo, as equa\u00e7\u00f5es do 2\u00ba grau possuem uma parte envolvendo ra\u00edzes, dessa forma, em algum momento devemos utilizar tais t\u00e9cnicas para a obten\u00e7\u00e3o do resultado.<\/p>\n<p style=\"text-align: justify;\">Por Marcos No\u00e9<br \/>\nGraduado em Matem\u00e1tica<br \/>\nEquipe Brasil Escola<\/p>\n<p style=\"text-align: justify;\"><strong>2 &#8211; Por MMC<\/strong><\/p>\n<p style=\"text-align: justify;\">veja abaixo um exemplo de como reduzir radicais ao mesmo \u00edndice por MMC:<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-22668\" src=\"http:\/\/antonini.med.br\/blog\/wp-content\/uploads\/2014\/08\/reducao1.jpg\" alt=\"reducao1\" width=\"429\" height=\"265\" \/><\/p>\n<p>veja o quadro abaixo mostrando melhor como se acha o resultado final:<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-22669\" src=\"http:\/\/antonini.med.br\/blog\/wp-content\/uploads\/2014\/08\/0a1.png\" alt=\"0a1\" width=\"320\" height=\"323\" \/><\/p>\n<p>Postado por Cibelly e Nat\u00e1lia \u00e0s 15:10<\/p>\n<p style=\"text-align: center;\">[vsw id=&#8221;UCrHbWfaBso&#8221; source=&#8221;youtube&#8221; width=&#8221;425&#8243; height=&#8221;344&#8243; autoplay=&#8221;no&#8221;]<\/p>\n<p style=\"text-align: center;\">[<a href=\"?p=22620\">Voltar<\/a>]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Existem dois m\u00e9todos poss\u00edveis: Pelo MMC (m\u00ednimo m\u00faltiplo comum) ou por multiplica\u00e7\u00e3o.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[27],"tags":[],"class_list":["post-22649","post","type-post","status-publish","format-standard","hentry","category-noticias"],"_links":{"self":[{"href":"https:\/\/antonini.ddns.net\/index.php?rest_route=\/wp\/v2\/posts\/22649","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/antonini.ddns.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/antonini.ddns.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/antonini.ddns.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/antonini.ddns.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=22649"}],"version-history":[{"count":10,"href":"https:\/\/antonini.ddns.net\/index.php?rest_route=\/wp\/v2\/posts\/22649\/revisions"}],"predecessor-version":[{"id":22673,"href":"https:\/\/antonini.ddns.net\/index.php?rest_route=\/wp\/v2\/posts\/22649\/revisions\/22673"}],"wp:attachment":[{"href":"https:\/\/antonini.ddns.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22649"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/antonini.ddns.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22649"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/antonini.ddns.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22649"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}