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Thread: Radicals; nth Roots

  1. #1
    may
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    Radicals; nth Roots

    how to prove the left side equation is equal to right side equation ?
    [tex]cube root {8x^4}[\math]=[tex]2x^3sqrt{x}[\math]

    why i can't form the equation correctly?
    Last edited by may; Jun 5th 2010 at 06:23 PM.
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  2. #2
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    Quote Originally Posted by may View Post
    how to prove the left side equation is equal to right side equation ?
    [tex]cube root {8x^4}[\math]=[tex]2x^3sqrt{x}[\math]

    why i can't form the equation correctly?
    First of all, the LaTeX code you want is

    \sqrt[3]{8x^4} = 2x^3\sqrt{x}

    to get \sqrt[3]{8x^4} = 2x^3\sqrt{x}.


    Now to answer your question... the left hand side does NOT equal the right hand side...

    \sqrt[3]{8x^4} = \sqrt[3]{8}\sqrt[3]{x^3}\sqrt[3]{x}

     = 2x\sqrt[3]{x}

    \neq 2x^3\sqrt{x}.
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