Square Root and Absolute Value

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relaxin99: Senior | Next Rank: 100 Posts; Posts: 73; Joined: Tue Sep 16, 2008 4:33 pm; Thanked: 2 times

by relaxin99 » Thu Feb 12, 2009 2:19 pm

x < 0 ; square root of -x(abs value x)?

A) -X
B) -1
C) 1
D) X
E) square root X

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Source: Beat The GMAT — Problem Solving | Thu Feb 12, 2009 2:19 pm

awesomeusername: Master | Next Rank: 500 Posts; Posts: 226; Joined: Tue Jan 13, 2009 1:27 pmFollowed by: 1 member; Thanked: 23 times

by awesomeusername » Thu Feb 12, 2009 2:34 pm

X is negative.

SQRT(-X*abs(X))

Say X=-1

Then SQRT(-(-1)*abs(-1)) = SQRT(1*1) = 1.

Say X=-2

Then SQRT(-(-2)*abs(-2)) = SQRT(2*2) = 2

Thus -X seems to be the answer of choice.

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