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Math Help - Simplifying expression

  1. #1
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    Simplifying expression

    I'm doing some extra math sheets and got stuck on this problem:
    u^2√(24uy^2)-4√(96u^5)
    Can someone please solve with steps so I know how to do it?
    Please & thank you
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  2. #2
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    Re: Simplifying expression

    u^2√(24uy^2)-4√(96u^5) =
    u^2\sqrt{4y^2 \cdot 6u} - 4\sqrt{16u^4 \cdot 6u} =

    u^2 \cdot 2y \sqrt{6u} - 4 \cdot 4u^2 \cdot \sqrt{6u} =

    2u^2\sqrt{6u}(y - 8)
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  3. #3
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    Re: Simplifying expression

    Quote Originally Posted by skeeter View Post
    2u^2\sqrt{6u}(y - 8)
    Don't you need |y|~?
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  4. #4
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    Re: Simplifying expression

    Quote Originally Posted by Plato View Post
    Don't you need |y|~?
    yes, you do ... but I didn't want to confuse things at this point.
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