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Math Help - Simplifying the Radical?

  1. #1
    Junior Member
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    Simplifying the Radical?

    I really don't understand how to work this problem out. I usually just use my calculator but my instructor (online student) wants me to show work.

    150x^5y^8

    20x^4 * 5x
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  2. #2
    Senior Member
    Joined
    Nov 2009
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    Quote Originally Posted by deekay930 View Post
    I really don't understand how to work this problem out. I usually just use my calculator but my instructor (online student) wants me to show work.

    150x^5y^8

    20x^4 * 5x
    \sqrt{150x^4xy^8}= \sqrt{(25)(6)x^4xy^8}=5x^2y^4 \sqrt{6x}

    \sqrt{20x^4} \sqrt{5x}=\sqrt{100x^4x}=10x^2 \sqrt{x}
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