{"id":11856,"date":"2014-04-30T15:39:24","date_gmt":"2014-04-30T14:39:24","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11856"},"modified":"2021-12-26T13:29:03","modified_gmt":"2021-12-26T13:29:03","slug":"simplifica-as-seguintes-expressoes-com-radicais","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11856","title":{"rendered":"Simplifica as seguintes express\u00f5es com radicais"},"content":{"rendered":"<p><ul id='GTTabs_ul_11856' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11856' class='GTTabs_curr'><a  id=\"11856_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11856' ><a  id=\"11856_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_11856'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Simplifica as seguintes express\u00f5es com radicais:<\/p>\n<ol>\n<li>${ &#8211; \\sqrt[3]{2} + 2\\sqrt[3]{2} + 3\\sqrt[2]{2}}$<\/li>\n<li>$\\frac{{\\sqrt {45} }}{{\\sqrt {500} }} &#8211; \\sqrt {80} $<\/li>\n<li>$5\\sqrt[3]{{16}} &#8211; 3\\sqrt[3]{{54}} \\times \\sqrt[3]{5}$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11856' onClick='GTTabs_show(1,11856)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11856'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>Tem-se sucessivamente:<br \/>\n\\[\\begin{array}{*{20}{l}}<br \/>\n{ &#8211; \\sqrt[3]{2} + 2\\sqrt[3]{2} + 3\\sqrt[2]{2}}&amp; = &amp;{\\left( { &#8211; 1 + 2 + 3} \\right)\\sqrt[3]{2}} \\\\<br \/>\n{}&amp; = &amp;{4\\sqrt[3]{2}}<br \/>\n\\end{array}\\]<\/li>\n<li>Tem-se sucessivamente:<br \/>\n\\[\\begin{array}{*{20}{l}}<br \/>\n{\\frac{{\\sqrt {45} }}{{\\sqrt {500} }} &#8211; \\sqrt {80} }&amp; = &amp;{\\frac{{\\sqrt {{3^2} \\times 5} }}{{\\sqrt {{{10}^2} \\times 5} }} &#8211; \\sqrt {{4^2} \\times 5} } \\\\<br \/>\n{}&amp; = &amp;{\\frac{{3\\sqrt 5 }}{{10\\sqrt 5 }} &#8211; 4\\sqrt 5 } \\\\<br \/>\n{}&amp; = &amp;{\\frac{3}{{10}} &#8211; 4\\sqrt 5 }<br \/>\n\\end{array}\\]<\/li>\n<li>Tem-se sucessivamente:<br \/>\n\\[\\begin{array}{*{20}{l}}<br \/>\n{5\\sqrt[3]{{16}} &#8211; 3\\sqrt[3]{{54}} \\times \\sqrt[3]{5}}&amp; = &amp;{5\\sqrt[3]{{{2^3} \\times 2}} &#8211; 3\\sqrt[3]{{{3^3} \\times 2}} \\times \\sqrt[3]{5}} \\\\<br \/>\n{}&amp; = &amp;{10\\sqrt[3]{2} &#8211; 9\\sqrt[3]{2} \\times \\sqrt[3]{5}} \\\\<br \/>\n{}&amp; = &amp;{10\\sqrt[3]{2} &#8211; 9\\sqrt[3]{{10}}}<br \/>\n\\end{array}\\]<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11856' onClick='GTTabs_show(0,11856)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Simplifica as seguintes express\u00f5es com radicais: ${ &#8211; \\sqrt[3]{2} + 2\\sqrt[3]{2} + 3\\sqrt[2]{2}}$ $\\frac{{\\sqrt {45} }}{{\\sqrt {500} }} &#8211; \\sqrt {80} $ $5\\sqrt[3]{{16}} &#8211; 3\\sqrt[3]{{54}} \\times \\sqrt[3]{5}$ Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt;&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19282,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[98,97,157],"tags":[422,377],"series":[],"class_list":["post-11856","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-11--ano","category-aplicando","category-funcoes-com-radicais","tag-11-o-ano","tag-operacoes-com-radicais"],"views":1457,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat100.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11856","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11856"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11856\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11856"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11856"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11856"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11856"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}