If \(n\) and \(k\) are positive integers, is \(\sqrt{n+k}>2\sqrt{n}?\)

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If \(n\) and \(k\) are positive integers, is \(\sqrt{n+k}>2\sqrt{n}?\)

(1) \(k > 3n\)
(2) \(n + k > 3n\)

Answer: A

Source: Official Guide