{"id":1958,"date":"2021-12-02T19:40:11","date_gmt":"2021-12-03T00:40:11","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-9-3\/"},"modified":"2023-09-01T14:37:41","modified_gmt":"2023-09-01T18:37:41","slug":"answer-key-9-3","status":"publish","type":"back-matter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-9-3\/","title":{"raw":"Answer Key 9.3","rendered":"Answer Key 9.3"},"content":{"raw":"
    \r\n \t
  1. [latex](2+2+2)\\sqrt{5}[\/latex]\r\n[latex]6\\sqrt{5}[\/latex]<\/li>\r\n \t
  2. [latex]-5\\sqrt{3}-3\\sqrt{6}[\/latex]<\/li>\r\n \t
  3. [latex]-3\\sqrt{2}+6\\sqrt{5}[\/latex]<\/li>\r\n \t
  4. [latex]-\\sqrt{3}-5\\sqrt{6}[\/latex]<\/li>\r\n \t
  5. [latex]\\sqrt{2}-3\\sqrt{9\\cdot 2}[\/latex]\r\n[latex]\\sqrt{2}-3\\cdot 3\\sqrt{2}[\/latex]\r\n[latex]-8\\sqrt{2}[\/latex]<\/li>\r\n \t
  6. [latex]-\\sqrt{6\\cdot 9}-3\\sqrt{6}+3\\sqrt{9\\cdot 3}[\/latex]\r\n[latex]-3\\sqrt{6}-3\\sqrt{6}+3\\cdot 3\\sqrt{3}[\/latex]\r\n[latex]-6\\sqrt{6}+9\\sqrt{3}[\/latex]<\/li>\r\n \t
  7. [latex]-3\\sqrt{6}-\\sqrt{4\\cdot 3}+3\\sqrt{3}[\/latex]\r\n[latex]-3\\sqrt{6}-2\\sqrt{3}+3\\sqrt{3}[\/latex]\r\n[latex]-3\\sqrt{6}+\\sqrt{3}[\/latex]<\/li>\r\n \t
  8. [latex]-2\\sqrt{5}-2\\sqrt{6\\cdot 9}[\/latex]\r\n[latex]-2\\sqrt{5}-2\\cdot 3\\sqrt{6}[\/latex]\r\n[latex]-2\\sqrt{5}-6\\sqrt{6}[\/latex]<\/li>\r\n \t
  9. [latex]3\\sqrt{2}+2\\sqrt{4\\cdot 2}-3\\sqrt{2\\cdot 9}[\/latex]\r\n[latex]3\\sqrt{2}+2\\cdot 2\\sqrt{2}-3\\cdot 3\\sqrt{2}[\/latex]\r\n[latex]3\\sqrt{2}+4\\sqrt{2}-9\\sqrt{2}[\/latex]\r\n[latex]-2\\sqrt{2}[\/latex]<\/li>\r\n \t
  10. [latex]4\\sqrt{20}-\\sqrt{3}[\/latex]\r\n[latex]4\\sqrt{4\\cdot 5}-\\sqrt{3}[\/latex]\r\n[latex]4\\cdot 2\\sqrt{5}-\\sqrt{3}[\/latex]\r\n[latex]8\\sqrt{5}-\\sqrt{3}[\/latex]<\/li>\r\n \t
  11. [latex]3\\sqrt{9\\cdot 2}-4\\sqrt{2}[\/latex]\r\n[latex]3\\cdot 3\\sqrt{2}-4\\sqrt{2}[\/latex]\r\n[latex]9\\sqrt{2}-4\\sqrt{2}\\Rightarrow 5\\sqrt{2}[\/latex]<\/li>\r\n \t
  12. [latex]-3\\sqrt{9\\cdot 3}+2\\sqrt{3}-\\sqrt{4\\cdot 3}[\/latex]\r\n[latex]-3\\cdot 3\\sqrt{3}+2\\sqrt{3}-2\\sqrt{3}[\/latex]\r\n[latex]-9\\sqrt{3}[\/latex]<\/li>\r\n \t
  13. [latex]-3\\sqrt{6}-\\sqrt{3}[\/latex]<\/li>\r\n \t
  14. [latex]-3\\sqrt{2}+3\\sqrt{4\\cdot 2}+3\\sqrt{6}[\/latex]\r\n[latex]-3\\sqrt{2}+3\\cdot 2\\sqrt{2}+3\\sqrt{6}[\/latex]\r\n[latex]3\\sqrt{2}+3\\sqrt{6}[\/latex]<\/li>\r\n \t
  15. [latex]-2\\sqrt{9\\cdot 2}-3\\sqrt{4\\cdot 2}-\\sqrt{4\\cdot 5}+2\\sqrt{4\\cdot 5}[\/latex]\r\n[latex]-6\\sqrt{2}-6\\sqrt{2}-2\\sqrt{5}+4\\sqrt{5}[\/latex]\r\n[latex]-12\\sqrt{2}+2\\sqrt{5}[\/latex]<\/li>\r\n \t
  16. [latex]-3\\sqrt{9\\cdot 2}+3\\sqrt{8}[\/latex]\r\n[latex]-9\\sqrt{2}+3\\sqrt{4\\cdot 2}[\/latex]\r\n[latex]-9\\sqrt{2}+6\\sqrt{2}[\/latex]\r\n[latex]-3\\sqrt{2}[\/latex]<\/li>\r\n \t
  17. [latex]-2\\sqrt{4\\cdot 6}+2\\sqrt{5\\cdot 4}[\/latex]\r\n[latex]-4\\sqrt{6}+4\\sqrt{5}[\/latex]<\/li>\r\n \t
  18. [latex]-3\\sqrt{4\\cdot 2}-\\sqrt{5}-3\\sqrt{6}+2\\sqrt{9\\cdot 2}[\/latex]\r\n[latex]-6\\sqrt{2}-\\sqrt{5}-3\\sqrt{6}+6\\sqrt{2}[\/latex]\r\n[latex]-\\sqrt{5}-3\\sqrt{6}[\/latex]<\/li>\r\n \t
  19. [latex]3\\sqrt{6\\cdot 4}-3\\sqrt{3\\cdot 9}+2\\sqrt{6}+2\\sqrt{2\\cdot 4}[\/latex]\r\n[latex]6\\sqrt{6}-9\\sqrt{3}+2\\sqrt{6}+4\\sqrt{2}[\/latex]\r\n[latex]4\\sqrt{2}-9\\sqrt{3}+8\\sqrt{6}[\/latex]<\/li>\r\n \t
  20. [latex]2\\sqrt{6}-\\sqrt{9\\cdot 6}-3\\sqrt{9\\cdot 3}-\\sqrt{3}[\/latex]\r\n[latex]2\\sqrt{6}-3\\sqrt{6}-9\\sqrt{3}-\\sqrt{3}[\/latex]\r\n[latex]-\\sqrt{6}-10\\sqrt{3}[\/latex]<\/li>\r\n<\/ol>","rendered":"
      \n
    1. [latex](2+2+2)\\sqrt{5}[\/latex]
      \n[latex]6\\sqrt{5}[\/latex]<\/li>\n
    2. [latex]-5\\sqrt{3}-3\\sqrt{6}[\/latex]<\/li>\n
    3. [latex]-3\\sqrt{2}+6\\sqrt{5}[\/latex]<\/li>\n
    4. [latex]-\\sqrt{3}-5\\sqrt{6}[\/latex]<\/li>\n
    5. [latex]\\sqrt{2}-3\\sqrt{9\\cdot 2}[\/latex]
      \n[latex]\\sqrt{2}-3\\cdot 3\\sqrt{2}[\/latex]
      \n[latex]-8\\sqrt{2}[\/latex]<\/li>\n
    6. [latex]-\\sqrt{6\\cdot 9}-3\\sqrt{6}+3\\sqrt{9\\cdot 3}[\/latex]
      \n[latex]-3\\sqrt{6}-3\\sqrt{6}+3\\cdot 3\\sqrt{3}[\/latex]
      \n[latex]-6\\sqrt{6}+9\\sqrt{3}[\/latex]<\/li>\n
    7. [latex]-3\\sqrt{6}-\\sqrt{4\\cdot 3}+3\\sqrt{3}[\/latex]
      \n[latex]-3\\sqrt{6}-2\\sqrt{3}+3\\sqrt{3}[\/latex]
      \n[latex]-3\\sqrt{6}+\\sqrt{3}[\/latex]<\/li>\n
    8. [latex]-2\\sqrt{5}-2\\sqrt{6\\cdot 9}[\/latex]
      \n[latex]-2\\sqrt{5}-2\\cdot 3\\sqrt{6}[\/latex]
      \n[latex]-2\\sqrt{5}-6\\sqrt{6}[\/latex]<\/li>\n
    9. [latex]3\\sqrt{2}+2\\sqrt{4\\cdot 2}-3\\sqrt{2\\cdot 9}[\/latex]
      \n[latex]3\\sqrt{2}+2\\cdot 2\\sqrt{2}-3\\cdot 3\\sqrt{2}[\/latex]
      \n[latex]3\\sqrt{2}+4\\sqrt{2}-9\\sqrt{2}[\/latex]
      \n[latex]-2\\sqrt{2}[\/latex]<\/li>\n
    10. [latex]4\\sqrt{20}-\\sqrt{3}[\/latex]
      \n[latex]4\\sqrt{4\\cdot 5}-\\sqrt{3}[\/latex]
      \n[latex]4\\cdot 2\\sqrt{5}-\\sqrt{3}[\/latex]
      \n[latex]8\\sqrt{5}-\\sqrt{3}[\/latex]<\/li>\n
    11. [latex]3\\sqrt{9\\cdot 2}-4\\sqrt{2}[\/latex]
      \n[latex]3\\cdot 3\\sqrt{2}-4\\sqrt{2}[\/latex]
      \n[latex]9\\sqrt{2}-4\\sqrt{2}\\Rightarrow 5\\sqrt{2}[\/latex]<\/li>\n
    12. [latex]-3\\sqrt{9\\cdot 3}+2\\sqrt{3}-\\sqrt{4\\cdot 3}[\/latex]
      \n[latex]-3\\cdot 3\\sqrt{3}+2\\sqrt{3}-2\\sqrt{3}[\/latex]
      \n[latex]-9\\sqrt{3}[\/latex]<\/li>\n
    13. [latex]-3\\sqrt{6}-\\sqrt{3}[\/latex]<\/li>\n
    14. [latex]-3\\sqrt{2}+3\\sqrt{4\\cdot 2}+3\\sqrt{6}[\/latex]
      \n[latex]-3\\sqrt{2}+3\\cdot 2\\sqrt{2}+3\\sqrt{6}[\/latex]
      \n[latex]3\\sqrt{2}+3\\sqrt{6}[\/latex]<\/li>\n
    15. [latex]-2\\sqrt{9\\cdot 2}-3\\sqrt{4\\cdot 2}-\\sqrt{4\\cdot 5}+2\\sqrt{4\\cdot 5}[\/latex]
      \n[latex]-6\\sqrt{2}-6\\sqrt{2}-2\\sqrt{5}+4\\sqrt{5}[\/latex]
      \n[latex]-12\\sqrt{2}+2\\sqrt{5}[\/latex]<\/li>\n
    16. [latex]-3\\sqrt{9\\cdot 2}+3\\sqrt{8}[\/latex]
      \n[latex]-9\\sqrt{2}+3\\sqrt{4\\cdot 2}[\/latex]
      \n[latex]-9\\sqrt{2}+6\\sqrt{2}[\/latex]
      \n[latex]-3\\sqrt{2}[\/latex]<\/li>\n
    17. [latex]-2\\sqrt{4\\cdot 6}+2\\sqrt{5\\cdot 4}[\/latex]
      \n[latex]-4\\sqrt{6}+4\\sqrt{5}[\/latex]<\/li>\n
    18. [latex]-3\\sqrt{4\\cdot 2}-\\sqrt{5}-3\\sqrt{6}+2\\sqrt{9\\cdot 2}[\/latex]
      \n[latex]-6\\sqrt{2}-\\sqrt{5}-3\\sqrt{6}+6\\sqrt{2}[\/latex]
      \n[latex]-\\sqrt{5}-3\\sqrt{6}[\/latex]<\/li>\n
    19. [latex]3\\sqrt{6\\cdot 4}-3\\sqrt{3\\cdot 9}+2\\sqrt{6}+2\\sqrt{2\\cdot 4}[\/latex]
      \n[latex]6\\sqrt{6}-9\\sqrt{3}+2\\sqrt{6}+4\\sqrt{2}[\/latex]
      \n[latex]4\\sqrt{2}-9\\sqrt{3}+8\\sqrt{6}[\/latex]<\/li>\n
    20. [latex]2\\sqrt{6}-\\sqrt{9\\cdot 6}-3\\sqrt{9\\cdot 3}-\\sqrt{3}[\/latex]
      \n[latex]2\\sqrt{6}-3\\sqrt{6}-9\\sqrt{3}-\\sqrt{3}[\/latex]
      \n[latex]-\\sqrt{6}-10\\sqrt{3}[\/latex]<\/li>\n<\/ol>\n","protected":false},"author":90,"menu_order":84,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"back-matter-type":[],"contributor":[],"license":[56],"class_list":["post-1958","back-matter","type-back-matter","status-publish","hentry","license-cc-by-nc-sa"],"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1958","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":3,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1958\/revisions"}],"predecessor-version":[{"id":2230,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1958\/revisions\/2230"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1958\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1958"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter-type?post=1958"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1958"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1958"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}