If \(n\) is a positive integer greater than 1, is \(\sqrt{n+11}=\sqrt{n}+1?\)

[Vincen]

If \(n\) is a positive integer greater than 1, is \(\sqrt{n+11}=\sqrt{n}+1?\)

(1) \(n\) is a perfect square
(2) \(n + 11\) is a perfect square.

[spoiler]OA=C[/spoiler]

Source: Manhattan GMAT