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Quiz 7

Mathematics Department
Tennessee Technological University


Date: November 21, 2017


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  1. Simplify the expression $ \frac{\sqrt[3]{m^2 n}}{\sqrt[3]{m^3 n^2}}$.

    $ \frac{\sqrt[3]{m^2 n^2}}{mn}$

    $ \frac{1}{\sqrt[3]{m n}}$

    $ \sqrt[3]{m n}$

    $ \frac{\sqrt[3]{m}}{mn}$

  2. Evaluate $ \sqrt[4]{256}$,

    $ 4$

    $ -4$

    $ -8$

    $ 8$

  3. Rationalize the expression $ \frac{1}{1-\sqrt{3}}$.

    $ -2(1+\sqrt{3})$

    $ 1+\sqrt{3}$

    $ 1-\sqrt{3}$

    $ -\frac{1}{2}(1+\sqrt{3})$

  4. Simplify the expression $ \sqrt[3]{8x^2y^4z^5}$.

    $ 2yz\sqrt[3]{xyz}$

    $ 2yz\sqrt[3]{x^2y}$

    $ 2yz\sqrt[3]{x^2yz^2}$

    $ 2\sqrt[3]{x^2yz^2} $

  5. Simplify the expression $ \sqrt[2]{\sqrt[3]{m}}$.

    $ \sqrt[6]{m}$

    $ \sqrt[5]{m}$

    $ \sqrt[4]{m}$

    $ \sqrt[2]{m}$

  6. Find the product $ (1-\sqrt{5})(1+\sqrt{5})$.

    $ -2$

    $ -4$

    $ -3$

    $ 6$





Department of Mathematics
Last modified: 2017-11-21