square and square roots

Statement 1: If nÂ² is an integer, n may not be an integer.
If nÂ² = 1, n = 1 is an integer
If nÂ² = 2, n = âˆš2 is not an integer

So, statement 1 is not sufficient

Statement 2: If âˆšn is an integer, then n = (âˆšn)Â² = square of an integer
As n is a square of an integer, n must be an integer.

So, statement 2 is sufficient

Answer : B

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