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If x is a positive integer, is square_root x

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If x is a positive integer, is [(x)^(1/2)]^(1/2) ?
(1) x is the square of an integer.
(2) \sqrt{x} is the square of an integer.

I agree with the OA. However, I have a doubt with (2):

\sqrt{x} = i^2 , being i an integer.

Should we unsquare or use an additional square root on i? Is there a difference? I know that the square root only provide the positive root of the number.

Thanks!

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