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Quant review #64

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Director
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Joined: 25 Oct 2008
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Location: Kolkata,India
Quant review #64 [#permalink]

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New post 28 Jul 2009, 07:34
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Hey guys,what is the value of cube root(-64)?Is'nt any -ive sign under a root undefined?
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http://gmatclub.com/forum/countdown-beginshas-ended-85483-40.html#p649902

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Manager
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Re: Quant review #64 [#permalink]

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New post 28 Jul 2009, 07:47
Tejal, I think you are getting confused between square root and cube root. Cube root can definitely have -ve numbers. cuberoot(-64) = -4

But squareroot(-64) is imaginary and not defined

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Senior Manager
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Re: Quant review #64 [#permalink]

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New post 28 Jul 2009, 09:09
Tejal

Think in this way, reverse engineer

square of any number +ve or -ve can never be -ve therefore square root of a negative number is imaginary

but cube root of a +ve number is +ve and -ve number is -ve therefore cuberoot of a negative number is possible and is the cuberoot of the number with a -ve sign.

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Manager
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Re: Quant review #64 [#permalink]

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New post 28 Jul 2009, 11:46
Just use numbers and you will see it is quite simple:

(-4)*(-4)*(-4)
(16)*(-4)
-64

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Re: Quant review #64   [#permalink] 28 Jul 2009, 11:46
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