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# Is n an integer? 1) n2 is an integer 2) sqrt n is an integer

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Manager
Joined: 12 Feb 2008
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Is n an integer? 1) n2 is an integer 2) sqrt n is an integer [#permalink]  24 Jun 2008, 06:54
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Is n an integer?

1) n2 is an integer
2) sqrt n is an integer

is someone can show me an example of n2 not beeing an integer will be very much appreciated.

thanks!
Director
Joined: 13 Nov 2003
Posts: 790
Location: BULGARIA
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Re: DS: Integer or not [#permalink]  24 Jun 2008, 06:58
Hi,
As far as i understand your question you want to see if A is incorrect.
If n=sqrt2 then n^2=2 and n is NOT an integer . If n=2 then n^2=4 and n IS an integer
hope it helps
Director
Joined: 01 Jan 2008
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Re: DS: Integer or not [#permalink]  24 Jun 2008, 06:59
elmagnifico wrote:
Is n an integer?

1) n2 is an integer
2) sqrt n is an integer

is someone can show me an example of n2 not beeing an integer will be very much appreciated.

thanks!

1) if n^2 is an integer: for example n^2 = 3 -> n = sqrt(3) - not an integer; n^2 = 4 -> n = 2 - integer -> insufficient
2) sqrt(n) is an integer -> n = sqrt(n)*sqrt(n) = integer -> sufficient -> B
SVP
Joined: 30 Apr 2008
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Location: Oklahoma City
Schools: Hard Knocks
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Re: DS: Integer or not [#permalink]  24 Jun 2008, 07:33
People gotta start using the math functions on here so the problems make sense.

n2 = n * 2....totally different than $$n^2$$

http://gmatclub.com/wiki/Help:Formulas
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Re: DS: Integer or not   [#permalink] 24 Jun 2008, 07:33
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