{"id":7275,"date":"2011-12-10T21:37:35","date_gmt":"2011-12-10T21:37:35","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=7275"},"modified":"2022-01-08T17:10:27","modified_gmt":"2022-01-08T17:10:27","slug":"o-resultado-de-cada-expressao","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=7275","title":{"rendered":"O resultado de cada express\u00e3o"},"content":{"rendered":"<p><ul id='GTTabs_ul_7275' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_7275' class='GTTabs_curr'><a  id=\"7275_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_7275' ><a  id=\"7275_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_7275'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Copia o quadro e indica, com uma cruz, o resultado de cada express\u00e3o:<\/p>\n<table class=\" aligncenter\" style=\"width: 55%;\" border=\"0\" align=\"center\">\n<tbody>\n<tr>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">&#8230; \u00e9 igual a &#8230;<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$2$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$\\sqrt{2}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$2\\sqrt{2}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$4\\sqrt{2}$<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$\\sqrt{2}+\\sqrt{2}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$\\sqrt{2}\\times \\sqrt{2}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$\\frac{10\\sqrt{2}}{5}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$\\frac{2}{\\sqrt{2}}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$5\\sqrt{2}-3\\sqrt{2}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">${{\\left( \\sqrt{2}+1 \\right)}^{2}}-{{\\left( \\sqrt{2}-1 \\right)}^{2}}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">${{\\left( \\frac{\\sqrt{2}}{2}+\\frac{\\sqrt{2}}{2} \\right)}^{2}}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_7275' onClick='GTTabs_show(1,7275)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_7275'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<table class=\" aligncenter\" style=\"width: 50%;\" border=\"0\" align=\"center\">\n<tbody>\n<tr>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">&#8230; \u00e9 igual a &#8230;<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$2$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$\\sqrt{2}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$2\\sqrt{2}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$4\\sqrt{2}$<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$\\sqrt{2}+\\sqrt{2}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><strong>\u00d7<\/strong><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$\\sqrt{2}\\times \\sqrt{2}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><strong>\u00d7<\/strong><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$\\frac{10\\sqrt{2}}{5}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><strong>\u00d7<\/strong><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$\\frac{2}{\\sqrt{2}}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><strong>\u00d7<\/strong><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">$5\\sqrt{2}-3\\sqrt{2}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><strong>\u00d7<\/strong><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">${{\\left( \\sqrt{2}+1 \\right)}^{2}}-{{\\left( \\sqrt{2}-1 \\right)}^{2}}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><strong>\u00d7<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; border: #dc143c 1px solid;\">${{\\left( \\frac{\\sqrt{2}}{2}+\\frac{\\sqrt{2}}{2} \\right)}^{2}}$<\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><strong>\u00d7<\/strong><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<td style=\"text-align: center; border: #dc143c 1px solid;\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0$$\\frac{2}{\\sqrt{2}}=\\frac{2}{\\sqrt{2}}\\times \\frac{\\sqrt{2}}{\\sqrt{2}}=\\frac{2\\sqrt{2}}{2}=\\sqrt{2}$$<\/p>\n<p>$${{\\left( \\sqrt{2}+1 \\right)}^{2}}-{{\\left( \\sqrt{2}-1 \\right)}^{2}}=\\left[ \\left( \\sqrt{2}+1 \\right)+\\left( \\sqrt{2}-1 \\right) \\right]\\times \\left[ \\left( \\sqrt{2}+1 \\right)-\\left( \\sqrt{2}-1 \\right) \\right]=2\\sqrt{2}\\times 2=4\\sqrt{2}$$<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_7275' onClick='GTTabs_show(0,7275)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Copia o quadro e indica, com uma cruz, o resultado de cada express\u00e3o: &#8230; \u00e9 igual a &#8230; $2$ $\\sqrt{2}$ $2\\sqrt{2}$ $4\\sqrt{2}$ $\\sqrt{2}+\\sqrt{2}$ $\\sqrt{2}\\times \\sqrt{2}$ $\\frac{10\\sqrt{2}}{5}$ $\\frac{2}{\\sqrt{2}}$ $5\\sqrt{2}-3\\sqrt{2}$ ${{\\left( \\sqrt{2}+1 \\right)}^{2}}-{{\\left(&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19170,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,258],"tags":[426,266],"series":[],"class_list":["post-7275","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-os-numeros-reais","tag-9-o-ano","tag-numeros-reais"],"views":1596,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat61.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7275","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=7275"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7275\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19170"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7275"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7275"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7275"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=7275"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}