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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
If x < 0, then (-x*|x|)^(1/2) is:
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14 Sep 2022, 06:54
14 Sep 2022, 06:54
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If x < 0, then \(\sqrt{-x|x|}\) is:
A. -x
B. -1
C. 1
D. x
E. \(\sqrt{x}\)
A. -x
B. -1
C. 1
D. x
E. \(\sqrt{x}\)
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Concentration: General Management
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WE:Engineering (Computer Software)
If x < 0, then (-x*|x|)^(1/2) is:
[#permalink]
16 Sep 2022, 08:49
16 Sep 2022, 08:49
2
Given that x < 0 and we need to find the value of \(\sqrt{-x|x|}\)
As x < 0, so assume x = -k where k is a positive number
=> \(\sqrt{-x|x|}\) = \(\sqrt{-(-k)|-k|}\)
= \(\sqrt{k*k}\) (As |Positive Number| = Positive Number)
= \(\sqrt{k^2}\) = k = -x
So, Answer will be A.
Hope it helps!
Watch the following video to learn the Basics of Absolute Values
As x < 0, so assume x = -k where k is a positive number
=> \(\sqrt{-x|x|}\) = \(\sqrt{-(-k)|-k|}\)
= \(\sqrt{k*k}\) (As |Positive Number| = Positive Number)
= \(\sqrt{k^2}\) = k = -x
So, Answer will be A.
Hope it helps!
Watch the following video to learn the Basics of Absolute Values
Re: If x < 0, then (-x*|x|)^(1/2) is:
[#permalink]
03 Apr 2024, 11:50
03 Apr 2024, 11:50
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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