{"id":11236,"date":"2012-11-11T23:13:39","date_gmt":"2012-11-11T23:13:39","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11236"},"modified":"2022-01-02T13:40:49","modified_gmt":"2022-01-02T13:40:49","slug":"copia-e-completa-5","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11236","title":{"rendered":"Copia e completa"},"content":{"rendered":"<p><ul id='GTTabs_ul_11236' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11236' class='GTTabs_curr'><a  id=\"11236_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11236' ><a  id=\"11236_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_11236'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Copia e completa com os sinais $ = $, $ &lt; $ ou $ &gt; $, de modo a obteres afirma\u00e7\u00f5es verdadeiras:<\/p>\n<ol>\n<li>$$\\begin{array}{*{20}{c}}<br \/>\n{\\frac{{\\sqrt {81} }}{{\\sqrt 9 }}}&amp; \\ldots &amp;{\\sqrt {\\frac{{81}}{9}} }<br \/>\n\\end{array}$$<\/li>\n<li>$$\\begin{array}{*{20}{c}}<br \/>\n{\\sqrt {16 + 9} }&amp; \\ldots &amp;{\\sqrt {16}\u00a0 + \\sqrt 9 }<br \/>\n\\end{array}$$<\/li>\n<li>$$\\begin{array}{*{20}{c}}<br \/>\n{\\sqrt 9\u00a0 \\times \\sqrt {100} }&amp; \\ldots &amp;{\\sqrt {9 \\times 100} }<br \/>\n\\end{array}$$<\/li>\n<li>$$\\begin{array}{*{20}{c}}<br \/>\n{\\sqrt {{7^2}} }&amp; \\ldots &amp;7<br \/>\n\\end{array}$$<\/li>\n<li>$$\\begin{array}{*{20}{c}}<br \/>\n{\\frac{{\\sqrt {64}\u00a0 \\times \\sqrt {49} }}{{\\sqrt {16}\u00a0 \\div \\sqrt 4 }}}&amp; \\ldots &amp;{21}<br \/>\n\\end{array}$$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11236' onClick='GTTabs_show(1,11236)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11236'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>Como $$\\frac{{\\sqrt {81} }}{{\\sqrt 9 }} = \\frac{9}{3} = 3$$ e $$\\sqrt {\\frac{{81}}{9}}\u00a0 = \\sqrt 9\u00a0 = 3$$ ent\u00e3o: $$\\begin{array}{*{20}{c}}<br \/>\n{\\frac{{\\sqrt {81} }}{{\\sqrt 9 }}}&amp; = &amp;{\\sqrt {\\frac{{81}}{9}} }<br \/>\n\\end{array}$$<br \/>\n\u00ad<\/li>\n<li>Como $\\sqrt {16 + 9}\u00a0 = \\sqrt {25}\u00a0 = 5$\u00a0 e \u00a0$\\sqrt {16}\u00a0 + \\sqrt 9\u00a0 = 4 + 3 = 7$, ent\u00e3o:<br \/>\n$$\\begin{array}{*{20}{c}}<br \/>\n{\\sqrt {16 + 9} }&amp; &lt; &amp;{\\sqrt {16}\u00a0 + \\sqrt 9 }<br \/>\n\\end{array}$$<br \/>\n\u00ad<\/li>\n<li>Como $\\sqrt 9\u00a0 \\times \\sqrt {100}\u00a0 = 3 \\times 10 = 30$\u00a0 e\u00a0 $\\sqrt {9 \\times 100}\u00a0 = \\sqrt {900}\u00a0 = 30$, ent\u00e3o:<br \/>\n$$\\begin{array}{*{20}{c}}<br \/>\n{\\sqrt 9\u00a0 \\times \\sqrt {100} }&amp; = &amp;{\\sqrt {9 \\times 100} }<br \/>\n\\end{array}$$<br \/>\n\u00ad<\/li>\n<li>Como $\\sqrt {{7^2}}\u00a0 = \\sqrt {49}\u00a0 = 7$, ent\u00e3o:<br \/>\n$$\\begin{array}{*{20}{c}}<br \/>\n{\\sqrt {{7^2}} }&amp; = &amp;7<br \/>\n\\end{array}$$<br \/>\n\u00ad<\/li>\n<li>Como $$\\frac{{\\sqrt {64}\u00a0 \\times \\sqrt {49} }}{{\\sqrt {16}\u00a0 \\div \\sqrt 4 }} = \\frac{{8 \\times 7}}{{4 \\div 2}} = \\frac{{56}}{2} = 28$$ ent\u00e3o: $$\\begin{array}{*{20}{c}}<br \/>\n{\\frac{{\\sqrt {64}\u00a0 \\times \\sqrt {49} }}{{\\sqrt {16}\u00a0 \\div \\sqrt 4 }}}&amp; &gt; &amp;{21}<br \/>\n\\end{array}$$<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11236' onClick='GTTabs_show(0,11236)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Copia e completa com os sinais $ = $, $ &lt; $ ou $ &gt; $, de modo a obteres afirma\u00e7\u00f5es verdadeiras: $$\\begin{array}{*{20}{c}} {\\frac{{\\sqrt {81} }}{{\\sqrt 9 }}}&amp; \\ldots &amp;{\\sqrt {\\frac{{81}}{9}}&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19286,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[319,339],"series":[],"class_list":["post-11236","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7-o-ano","category-aplicando","category-numeros-inteiros","tag-numeros-inteiros-2","tag-raiz-quadrada"],"views":2654,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat104.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11236","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=11236"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11236\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11236"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11236"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11236"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11236"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}