tough gmat prep problem

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varun007: Senior | Next Rank: 100 Posts; Posts: 30; Joined: Fri Aug 08, 2008 9:01 am

by varun007 » Sun Sep 14, 2008 6:23 am

pls can somebody explain in detail

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Source: Beat The GMAT — Problem Solving | Sun Sep 14, 2008 6:23 am

Sunny22uk: Master | Next Rank: 500 Posts; Posts: 144; Joined: Thu Apr 17, 2008 3:33 pm; Thanked: 8 times

by Sunny22uk » Sun Sep 14, 2008 12:36 pm

Since x<0, lets say x=-5
Sqrt of (-x|x|) is Sqrt of 5*5 i.e. +or -5
The answer is -x i.e. -5

Last edited by Sunny22uk on Mon Sep 15, 2008 1:28 pm, edited 1 time in total.

You cannot discover new oceans unless you have the courage to loose sight of the shore.

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pre-gmat: Master | Next Rank: 500 Posts; Posts: 105; Joined: Tue Jul 15, 2008 7:03 pm; Thanked: 5 times

by pre-gmat » Mon Sep 15, 2008 12:01 pm

I dun think picking values is required here.

Its simpler than that.

sqrt [ -x|x| ]

given x is negative |x| = -x

-x*-x= x ^2

sqrt x^2 = -X or + x

since its given X is negative the answer will be -X

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Sunny22uk: Master | Next Rank: 500 Posts; Posts: 144; Joined: Thu Apr 17, 2008 3:33 pm; Thanked: 8 times

by Sunny22uk » Mon Sep 15, 2008 12:11 pm

pre-gmat wrote:I dun think picking values is required here.

Its simpler than that.

sqrt [ -x|x| ]

given x is negative |x| = -x

-x*-x= x ^2

sqrt x^2 = -X or + x

since its given X is negative the answer will be -X

Picking values is not Required in any question, It is an alternative strategy

Also,you cannot write |x| = -x
Absolute value of any non zero number is always positive.

You cannot discover new oceans unless you have the courage to loose sight of the shore.

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