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# If x < 0, what is sqrt(-x|x|) ? 1) -x 2)-1 3) 1 4) x 5)

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SVP
Joined: 05 Jul 2006
Posts: 1519
Followers: 5

Kudos [?]: 115 [0], given: 39

If x < 0, what is sqrt(-x|x|) ? 1) -x 2)-1 3) 1 4) x 5) [#permalink]  11 Sep 2006, 09:16
If x < 0, what is sqrt(-x|x|) ?

1) -x
2)-1
3) 1
4) x
5) sqrt(x)
SVP
Joined: 01 May 2006
Posts: 1805
Followers: 8

Kudos [?]: 98 [0], given: 0

(A) or (1).

As x<0, Sqrt(-x*|x|) makes sens and is equal to -x (that is positive)
VP
Joined: 02 Jun 2006
Posts: 1267
Followers: 2

Kudos [?]: 42 [0], given: 0

A. -x

By definition sqrt(x^2) = -x when x < 0.

Look at :
http://en.wikipedia.org/wiki/Square_root#Properties
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