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Math Help - Simplify the radical. Assume that all variables represent positive real numbers.

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    Simplify the radical. Assume that all variables represent positive real numbers.

    P
    ___
    64






    = p

    ___


    8







    Is that right?
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  2. #2
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    Quote Originally Posted by HappyFeet View Post
    P
    ___
    64






    = p

    ___


    8







    Is that right?
    Is this what you're trying to simplify?

    \sqrt{\frac{p}{64}}?


    If so, you've made a mistake.


    You use the index law \left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}.

    Since a surd is a fractional power, we can use this index law for surds as well.


    \sqrt{\frac{p}{64}}=\frac{\sqrt{p}}{\sqrt{64}} = \frac{\sqrt{p}}{8}.
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