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Quant doubt

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Quant doubt [#permalink] New post 27 Aug 2013, 17:17
An extract from GMAT club tests:
Must know for the GMAT: if x is a positive integer then root(x) is either a positive integer or an irrational number. (It cannot be some reduced fraction e.g. 73 or 12).

can't root(x) be negative?
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Re: Quant doubt [#permalink] New post 27 Aug 2013, 17:26
another instance : First of all notice that since x is a positive number then root(x)>0.
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Re: Quant doubt [#permalink] New post 27 Aug 2013, 20:34
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nksbits wrote:
another instance : First of all notice that since x is a positive number then root(x)>0.


By definition (as far as GMAT is concerned), \sqrt{x} is positive only.

\sqrt{4} = 2
It is not +2 or -2.

In case you have x^2 = 4, x can take two values, 2 or -2.
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Re: Quant doubt [#permalink] New post 28 Aug 2013, 09:01
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Expert's post
nksbits wrote:
An extract from GMAT club tests:
Must know for the GMAT: if x is a positive integer then root(x) is either a positive integer or an irrational number. (It cannot be some reduced fraction e.g. 73 or 12).

can't root(x) be negative?
:|


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Re: Quant doubt   [#permalink] 28 Aug 2013, 09:01
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