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# Q14) If x < 0, then √(-x│x│) is

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Manager
Joined: 30 Aug 2007
Posts: 62
Q14) If x < 0, then âˆš(-xâ”‚xâ”‚) is   [#permalink]

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02 Oct 2007, 13:20
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Difficulty:

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Question Stats:

100% (00:58) correct 0% (00:00) wrong based on 30 sessions

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Q14)
If x < 0, then √(-x│x│) is

(a) –x
(b) -1
(c) 1
(d) x
(e) √x

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Manager
Joined: 30 Aug 2007
Posts: 62
Re: GMAT Prep 2: PS Q14  [#permalink]

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02 Oct 2007, 15:02
"the value should be +be, so only A works."

Can you please elaborate? I get √(-x│x│) = √(-x^2) but then I don't know how this simplifies as you cannot have the square root of a negative number?

Thanks for any more details you can give.

A.
Director
Joined: 17 Sep 2005
Posts: 873

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02 Oct 2007, 19:12
1
Given : x < 0

√(-x│x│)

Just Plug in any negative value
x = -2

Now

√(-x│x│)
= √(-)(-2)│-2│)
= √(2*2)
= 2 = - (-2) = - (x)

So A should be the answer.

- Brajesh
Manager
Joined: 22 May 2007
Posts: 109
Re: GMAT Prep 2: PS Q14  [#permalink]

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03 Oct 2007, 11:03
avenger wrote:
"the value should be +be, so only A works."

Can you please elaborate? I get √(-x│x│) = √(-x^2) but then I don't know how this simplifies as you cannot have the square root of a negative number?

Thanks for any more details you can give.

A.

- absolute of a negative is positive
- negative x negative =positive

so you have smt positive in the root-> outcome is positive but x is negative so answer is -x
Manager
Joined: 30 Aug 2007
Posts: 62

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04 Oct 2007, 16:42
OA is A.

Thanks for the explanations guys.

A.
Non-Human User
Joined: 09 Sep 2013
Posts: 7776
Re: Q14) If x < 0, then √(-x│x│) is   [#permalink]

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06 Apr 2017, 07:44
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--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: Q14) If x < 0, then √(-x│x│) is &nbs [#permalink] 06 Apr 2017, 07:44
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