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Thread: radical multiplication.

  1. March 14th 2010, 05:40 PM #1
    integral
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    radical multiplication.

    \sqrt[3]{2}\sqrt{3}

    I feel extremely stupid for not being able to simplify this.

    The answer is \sqrt[6]{108}

    Any help on how they got this answer?
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  2. March 14th 2010, 06:00 PM #2
    skeeter
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    Quote Originally Posted by integral View Post
    \sqrt[3]{2}\sqrt{3}

    I feel extremely stupid for not being able to simplify this.

    The answer is \sqrt[6]{108}

    Any help on how they got this answer?
    2^{\frac{1}{3}} \cdot 3^{\frac{1}{2}}

    2^{\frac{2}{6}} \cdot 3^{\frac{3}{6}}

    (2^2 \cdot 3^3)^{\frac{1}{6}}

    finish it
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