{"id":699,"date":"2019-04-29T16:41:10","date_gmt":"2019-04-29T20:41:10","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&#038;p=699"},"modified":"2019-11-22T18:16:10","modified_gmt":"2019-11-22T23:16:10","slug":"9-11-radical-pattern-puzzle","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/9-11-radical-pattern-puzzle\/","title":{"raw":"9.11 Radical Pattern Puzzle","rendered":"9.11 Radical Pattern Puzzle"},"content":{"raw":"[latexpage]\r\n\r\nThe 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 \\(x\\).\r\n\r\n\\[\\begin{tabular}{|c|c|c|}\r\n\\hline\r\n\\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}&amp;\r\n\\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}&amp;\r\n\\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}\\\\\r\n\\hline\r\n\\end{tabular}\\]\r\n\r\nCan you solve for \\(x\\)?\r\n\r\n<a href=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/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 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-32aa7af74ac10d419337e41b349ed05e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/>.<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 74px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-fc402e0346d6e1001c7a8e259f96ed5c_l3.png\" height=\"74\" width=\"436\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91;&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#116;&#97;&#98;&#117;&#108;&#97;&#114;&#125;&#123;&#124;&#99;&#124;&#99;&#124;&#99;&#124;&#125; &#92;&#104;&#108;&#105;&#110;&#101; &#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#38;&#57;&#94;&#123;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#125;&#38;&#32;&#92;&#92;&#32;&#38;&#92;&#116;&#101;&#120;&#116;&#98;&#102;&#123;&#52;&#52;&#125;&#38;&#32;&#92;&#92;&#32;&#54;&#52;&#94;&#123;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#125;&#38;&#38;&#49;&#54;&#94;&#123;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#125;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#38; &#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#38;&#56;&#49;&#94;&#123;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#125;&#38;&#32;&#92;&#92;&#32;&#38;&#92;&#116;&#101;&#120;&#116;&#98;&#102;&#123;&#51;&#50;&#125;&#38;&#32;&#92;&#92;&#32;&#52;&#57;&#94;&#123;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#125;&#38;&#38;&#52;&#94;&#123;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#125;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#38; &#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#38;&#54;&#52;&#94;&#123;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#125;&#38;&#32;&#92;&#92;&#32;&#38;&#92;&#116;&#101;&#120;&#116;&#98;&#102;&#123;&#55;&#53;&#125;&#38;&#32;&#92;&#92;&#32;&#52;&#57;&#94;&#123;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#125;&#38;&#38;&#120;&#94;&#123;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#125;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#92; &#92;&#104;&#108;&#105;&#110;&#101; &#92;&#101;&#110;&#100;&#123;&#116;&#97;&#98;&#117;&#108;&#97;&#114;&#125;&#92;&#93;\" title=\"Rendered by QuickLaTeX.com\" \/><\/p>\n<p>Can you solve for <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-32aa7af74ac10d419337e41b349ed05e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/>?<\/p>\n<p><a href=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-9-11\/\">Answer Key 9.11<\/a><\/p>\n","protected":false},"author":540,"menu_order":28,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-699","chapter","type-chapter","status-publish","hentry"],"part":389,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/699","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/users\/540"}],"version-history":[{"count":5,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/699\/revisions"}],"predecessor-version":[{"id":3515,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/699\/revisions\/3515"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/parts\/389"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/699\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=699"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapter-type?post=699"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=699"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=699"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}