Root Expressions

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Root Expressions

by Akansha » Sun May 29, 2011 10:36 am
x < 0, then √-x |x| (root of the whole expression)
a. -x
b. -1
c. 1
d. X
e. √x

OA is A. I got the answer as D. Can someone tell why is it not so? [/spoiler]

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by sameerballani » Sun May 29, 2011 10:44 am
Akansha wrote:x < 0, then √-x |x| (root of the whole expression)
a. -x
b. -1
c. 1
d. X
e. √x

OA is [spoiler]A. I got the answer as D. Can someone tell why is it not so? [/spoiler]
Assume x = -4 (x<0)
Root[-x|x|]= Root[-(-4|-4|)]= Root[-(-4)*4]= Root[4*4]= 4 = -(-4)= -x = option A

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by cans » Sun May 29, 2011 1:46 pm
√-x |x| (root of the whole expression) should be +ve as there is no '-' sign in front of root.
and we know x<0
Thus D is not the answer.
and -X>0, also √-x |x| = |x|
Thus A is the answer.