Answer Key 9.3

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

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Intermediate Algebra by Terrance Berg is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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