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# Expression!!

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Senior Manager
Joined: 16 Feb 2011
Posts: 262
Followers: 4

Kudos [?]: 127 [0], given: 9

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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?
Manager
Joined: 03 Mar 2011
Posts: 90
Location: United States
Schools: Erasmus (S)
GMAT 1: 730 Q51 V37
GPA: 3.9
Followers: 2

Kudos [?]: 130 [1] , given: 12

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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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