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Is n an integer? n^2 is an integer sqrt(n) is an integer

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Director
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Is n an integer? n^2 is an integer sqrt(n) is an integer [#permalink] New post 26 Feb 2007, 00:11
Is n an integer?

n^2 is an integer
sqrt(n) is an integer
please explain why the answer is what it is.
Manager
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 [#permalink] New post 26 Feb 2007, 01:05
I'll give it a try.

I think it is B.

For A we don't know. Try 2 and 1.41 as examples of N^2 being an integer.

For B it says the sqrt(N) is an integer. Therefore N = an integer x an integer and this always results in an integer.
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 [#permalink] New post 26 Feb 2007, 01:11
Agree with bz9 :)
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 [#permalink] New post 28 Feb 2007, 13:37
1.414214 works. Are there any other numbers that work too? Is there a way (ie equation) to prove this?
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 [#permalink] New post 28 Feb 2007, 13:59
ggarr wrote:
1.414214 works. Are there any other numbers that work too? Is there a way (ie equation) to prove this?


sqrt(5),sqrt(6),sqrt(7), or any other integer hat does not have a square root..
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 [#permalink] New post 28 Feb 2007, 14:01
Quote:
any other integer hat does not have a square root
thanks. I should've seen that.
  [#permalink] 28 Feb 2007, 14:01
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Is n an integer? n^2 is an integer sqrt(n) is an integer

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