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Expression!!

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Expression!! [#permalink] New post 26 Aug 2011, 22:30
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If x<0, simplify the given expression in terms of x, [(x-3)^4]^1/4 + (-x*absolute value of x)^1/2 = ??

Ans is 3-2x and I am getting -3-2x...pls help understand which sign am i missing?
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Re: Expression!! [#permalink] New post 01 Oct 2011, 13:58
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\sqrt[4]{(x-3)^4}+\sqrt{-x*|x|} = ?


\sqrt[4]{(x-3)^4}=|x-3|
Since x<0 then x-3<0 and |x-3|=3-x

\sqrt{-x*|x|}=\sqrt{(-x)*(-x)}=\sqrt{x^2}=|x|=-x

\sqrt[4]{(x-3)^4}+\sqrt{-x*|x|}=3-x-x=3-2x
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Re: Expression!!   [#permalink] 01 Oct 2011, 13:58
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