Answer Key 9.3

  1. [latex](2+2+2)\sqrt{5}[/latex]
    [latex]6\sqrt{5}[/latex]
  2. [latex]-5\sqrt{3}-3\sqrt{6}[/latex]
  3. [latex]-3\sqrt{2}+6\sqrt{5}[/latex]
  4. [latex]-\sqrt{3}-5\sqrt{6}[/latex]
  5. [latex]\sqrt{2}-3\sqrt{9\cdot 2[/latex]
    [latex]\sqrt{2}-3\cdot 3\sqrt{2}[/latex]
    [latex]-8\sqrt{2}[/latex]
  6. [latex]-\sqrt{6\cdot 9}-3\sqrt{6}+3\sqrt{9\cdot 3}[/latex]
    [latex]-3\sqrt{6}-3\sqrt{6}+3\cdot 3\sqrt{3}[/latex]
    [latex]-6\sqrt{6}+9\sqrt{3}[/latex]
  7. [latex]-3\sqrt{6}-\sqrt{4\cdot 3}+3\sqrt{3}[/latex]
    [latex]-3\sqrt{6}-2\sqrt{3}+3\sqrt{3}[/latex]
    [latex]-3\sqrt{6}+\sqrt{3}[/latex]
  8. [latex]-2\sqrt{5}-2\sqrt{6\cdot 9}[/latex]
    [latex]-2\sqrt{5}-2\cdot 3\sqrt{6}[/latex]
    [latex]-2\sqrt{5}-6\sqrt{6}[/latex]
  9. [latex]3\sqrt{2}+2\sqrt{4\cdot 2}-3\sqrt{2\cdot 9}[/latex]
    [latex]3\sqrt{2}+2\cdot 2\sqrt{2}-3\cdot 3\sqrt{2}[/latex]
    [latex]3\sqrt{2}+4\sqrt{2}-9\sqrt{2}[/latex]
    [latex]-2\sqrt{2}[/latex]
  10. [latex]4\sqrt{20}-\sqrt{3}[/latex]
    [latex]4\sqrt{4\cdot 5}-\sqrt{3}[/latex]
    [latex]4\cdot 2\sqrt{5}-\sqrt{3}[/latex]
    [latex]8\sqrt{5}-\sqrt{3}[/latex]
  11. [latex]3\sqrt{9\cdot 2}-4\sqrt{2}[/latex]
    [latex]3\cdot 3\sqrt{2}-4\sqrt{2}[/latex]
    [latex]9\sqrt{2}-4\sqrt{2}\Rightarrow 5\sqrt{2}[/latex]
  12. [latex]-3\sqrt{9\cdot 3}+2\sqrt{3}-\sqrt{4\cdot 3}[/latex]
    [latex]-3\cdot 3\sqrt{3}+2\sqrt{3}-2\sqrt{3}[/latex]
    [latex]-9\sqrt{3}[/latex]
  13. [latex]-3\sqrt{6}-\sqrt{3}[/latex]
  14. [latex]-3\sqrt{2}+3\sqrt{4\cdot 2}+3\sqrt{6}[/latex]
    [latex]-3\sqrt{2}+3\cdot 2\sqrt{2}+3\sqrt{6}[/latex]
    [latex]3\sqrt{2}+3\sqrt{6}[/latex]
  15. [latex]-2\sqrt{9\cdot 2}-3\sqrt{4\cdot 2}-\sqrt{4\cdot 5}+2\sqrt{4\cdot 5}[/latex]
    [latex]-6\sqrt{2}-6\sqrt{2}-2\sqrt{5}+4\sqrt{5}[/latex]
    [latex]-12\sqrt{2}+2\sqrt{5}[/latex]
  16. [latex]-3\sqrt{9\cdot 2}+3\sqrt{8}[/latex]
    [latex]-9\sqrt{2}+3\sqrt{4\cdot 2}[/latex]
    [latex]-9\sqrt{2}+6\sqrt{2}[/latex]
    [latex]-3\sqrt{2}[/latex]
  17. [latex]-2\sqrt{4\cdot 6}+2\sqrt{5\cdot 4}[/latex]
    [latex]-4\sqrt{6}+4\sqrt{5}[/latex]
  18. [latex]-3\sqrt{4\cdot 2}-\sqrt{5}-3\sqrt{6}+2\sqrt{9\cdot 2}[/latex]
    [latex]-6\sqrt{2}-\sqrt{5}-3\sqrt{6}+6\sqrt{2}[/latex]
    [latex]-\sqrt{5}-3\sqrt{6}[/latex]
  19. [latex]3\sqrt{6\cdot 4}-3\sqrt{3\cdot 9}+2\sqrt{6}+2\sqrt{2\cdot 4}[/latex]
    [latex]6\sqrt{6}-9\sqrt{3}+2\sqrt{6}+4\sqrt{2}[/latex]
    [latex]4\sqrt{2}-9\sqrt{3}+8\sqrt{6}[/latex]
  20. [latex]2\sqrt{6}-\sqrt{9\cdot 6}-3\sqrt{9\cdot 3}-\sqrt{3}[/latex]
    [latex]2\sqrt{6}-3\sqrt{6}-9\sqrt{3}-\sqrt{3}[/latex]
    [latex]-\sqrt{6}-10\sqrt{3}[/latex]

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Intermediate Algebra (Convert to MathJax) Copyright © 2020 by Terrance Berg is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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