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Math Help - Radicals

  1. #1
    QCBW
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    Radicals

    Please help me solve cubed sq root of 625 over cubed sq root of 5
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by QCBW View Post
    Please help me solve cubed sq root of 625 over cubed sq root of 5
    It's called a "cube root" not a "cubed square root."
    \frac{\sqrt[3]{625}}{\sqrt[3]{5}}

    = \frac{\sqrt[3]{125 \cdot 5}}{\sqrt[3]{5}}

    = \frac{\sqrt[3]{5^3 \cdot 5}}{\sqrt[3]{5}}

    = \frac{5~\sqrt[3]{5}}{\sqrt[3]{5}}

    = 5

    -Dan
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