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GMAT prep problem 1

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Source: — Data Sufficiency |
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by mschling52 » Thu Oct 04, 2007 12:43 pm
I think it's A, -x.

Since x is negative, -x is positive and -x = |x|.

Therefore, -x*|x| = (|x|)^2. Then, plugging this into the original problem,

sqrt((|x|^2)) = |x| = -x

You could solve this by plugging in a negative number and seeing what you get. For instance, say you chose -4 to be x. Then,

sqrt(-x*|x|) = sqrt(-(-4)*|-4|) = sqrt(4*4) = sqrt(16) = 4 = -x
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