Answer Key 9.2

  1. 4
  2. −5
  3. \sqrt[3]{5\cdot 125}
    5\sqrt[3]{5}
  4. \sqrt[3]{2\cdot 125}
    5\sqrt[3]{2}
  5. \sqrt[3]{3\cdot 64}
    4\sqrt[3]{3}
  6. \sqrt[3]{3\cdot 8}
    -2\sqrt[3]{3}
  7. -4\sqrt[4]{6\cdot 16}
    -4\cdot 2\sqrt[4]{6}
    \pm 8\sqrt[4]{6}
  8. -8\sqrt[4]{3\cdot 16}
    -8\cdot 2\sqrt[4]{3}
    \pm 16\sqrt[4]{3}
  9. 6\cdot \sqrt[4]{7\cdot 16}
    6\cdot 2\sqrt[4]{7}
    \pm 12 \sqrt[4]{7}
  10. 5\cdot \sqrt[4]{3\cdot 81}
    5\cdot 3\sqrt[4]{3}
    \pm 15\sqrt[4]{3}
  11. 6\sqrt[4]{8\cdot 81\cdot x^4\cdot x\cdot y^4\cdot y^3\cdot z^2}
    6\cdot 3\cdot x\cdot y\sqrt[4]{8xy^3z^2}
    \pm 18xy\sqrt[4]{8xy^3z^2}
  12. -6\sqrt[4]{5\cdot 81\cdot a^4\cdot a\cdot b^8\cdot c}
    -6\cdot 3\cdot a\cdot b^2\sqrt[4]{5ac}
    \pm 18ab^2\sqrt[4]{5ac}
  13. \sqrt[5]{7\cdot 32\cdot n^3\cdot p^2\cdot p^5\cdot q^5}
    2pq \sqrt[5]{7n^3p^2}
  14. \sqrt[5]{3\cdot -32\cdot x^3\cdot y^5\cdot y\cdot z^5}
    -2yz \sqrt[5]{3x^3y}
  15. \sqrt[5]{7\cdot 32\cdot p^5\cdot q^{10}\cdot r^{15}}
    2pq^2r^3 \sqrt[5]{7}
  16. \sqrt[6]{4\cdot 64\cdot x^6\cdot y^6\cdot z^6\cdot z}
    \pm 2xyz \sqrt[6]{4z}
  17. -3 \sqrt[7]{7\cdot 128\cdot r\cdot s^7\cdot t^{14}}
    -3\cdot 2\cdot s\cdot t^2 \sqrt[7]{7r}
    -6st^2\sqrt[7]{7r}
  18. -8 \sqrt[7]{3\cdot 128\cdot b^7\cdot b\cdot c^7\cdot d^6}
    -8\cdot 2\cdot b\cdot c \sqrt[7]{3bd^6}
    -16bc \sqrt[7]{3bd^6}

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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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