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Math Help - simplifying a radical

  1. #1
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    simplifying a radical

    Square root(x^2 y^4 z^8)

    how do you simplify something like this????
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  2. #2
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    Quote Originally Posted by chinese_man_77 View Post
    Square root(x^2 y^4 z^8)

    how do you simplify something like this????
    All the terms in the square root are multiplied and they are squares. That means you can do some cancellation.

    \sqrt{x^2 y^4 z^8}=\sqrt{(x)^2 (y^2)^2 (z^4)^2} = \sqrt{(x y^2 z^4)^2} = x y^2 z^4
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