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 $$\sqrt{n+k}>2\sqrt{n}?$$

by Vincen » Thu Jan 27, 2022 12:26 pm

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

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