{"id":1444,"date":"2021-12-02T19:38:03","date_gmt":"2021-12-03T00:38:03","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/9-11-radical-pattern-puzzle\/"},"modified":"2023-08-31T18:28:18","modified_gmt":"2023-08-31T22:28:18","slug":"radical-pattern-puzzle","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/radical-pattern-puzzle\/","title":{"raw":"9.11 Radical Pattern Puzzle","rendered":"9.11 Radical Pattern Puzzle"},"content":{"raw":"The centre number of each square is found by using the order of operations applied to the numbers that surround it. The challenge is to solve for the variable [latex]x[\/latex].\r\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\r\n<tbody>\r\n<tr>\r\n<td style=\"width: 33.3333%; text-align: center;\">[latex]\\begin{array}{ccc}&amp;{9}^{\\frac{1}{2}}&amp; \\\\ &amp;\\textbf{44}&amp; \\\\ {64}^{\\frac{1}{2}}&amp;&amp;{16}^{\\frac{1}{2}}\\end{array}[\/latex]<\/td>\r\n<td style=\"width: 33.3333%; text-align: center;\">[latex]\\begin{array}{ccc}&amp;{81}^{\\frac{1}{2}}&amp; \\\\ &amp;\\textbf{32}&amp; \\\\ {49}^{\\frac{1}{2}}&amp;&amp;{4}^{\\frac{1}{2}}\\end{array}[\/latex]<\/td>\r\n<td style=\"width: 33.3333%; text-align: center;\">[latex]\\begin{array}{ccc}&amp;{64}^{\\frac{1}{2}}&amp; \\\\ &amp;\\textbf{75}&amp; \\\\ {49}^{\\frac{1}{2}}&amp;&amp;{x}^{\\frac{1}{2}}\\end{array}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nCan you solve for [latex]x[\/latex]?\r\n\r\n<a class=\"internal\" href=\"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-9-11\/\">Answer Key 9.11<\/a>","rendered":"<p>The centre number of each square is found by using the order of operations applied to the numbers that surround it. The challenge is to solve for the variable [latex]x[\/latex].<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 33.3333%; text-align: center;\">[latex]\\begin{array}{ccc}&{9}^{\\frac{1}{2}}& \\\\ &\\textbf{44}& \\\\ {64}^{\\frac{1}{2}}&&{16}^{\\frac{1}{2}}\\end{array}[\/latex]<\/td>\n<td style=\"width: 33.3333%; text-align: center;\">[latex]\\begin{array}{ccc}&{81}^{\\frac{1}{2}}& \\\\ &\\textbf{32}& \\\\ {49}^{\\frac{1}{2}}&&{4}^{\\frac{1}{2}}\\end{array}[\/latex]<\/td>\n<td style=\"width: 33.3333%; text-align: center;\">[latex]\\begin{array}{ccc}&{64}^{\\frac{1}{2}}& \\\\ &\\textbf{75}& \\\\ {49}^{\\frac{1}{2}}&&{x}^{\\frac{1}{2}}\\end{array}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Can you solve for [latex]x[\/latex]?<\/p>\n<p><a class=\"internal\" href=\"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-9-11\/\">Answer Key 9.11<\/a><\/p>\n","protected":false},"author":90,"menu_order":11,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"chapter-type":[],"contributor":[],"license":[56],"class_list":["post-1444","chapter","type-chapter","status-publish","hentry","license-cc-by-nc-sa"],"part":1422,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1444","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":2,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1444\/revisions"}],"predecessor-version":[{"id":2154,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1444\/revisions\/2154"}],"part":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1422"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1444\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1444"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapter-type?post=1444"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1444"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1444"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}