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If n and k are positive integers, is (n+k)^1/2>2n^1/2?

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If n and k are positive integers, is (n+k)^1/2>2n^1/2? [#permalink]

26 Dec 2012, 05:31

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Question Stats:

66% (01:44) correct

33% (01:13) wrong

based on 7 sessions

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

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

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Re: If n and k are positive integers, is (n+k)^1/2>2n^1/2? [#permalink]

26 Dec 2012, 05:36

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

Both parts of the inequality are positive, thus we can square it, to get "is n+k>4n?" --> is k>3n?

(1) k > 3n. Sufficient.

(2) n + k > 3n --> k>2n. Not sufficient.

Answer: A.
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Re: If n and k are positive integers, is (n+k)^1/2>2n^1/2? [#permalink] 26 Dec 2012, 05:36

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If n and k are positive integers, is (n+k)^1/2>2n^1/2?

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If n and k are positive integers, is (n+k)^1/2>2n^1/2?

If n and k are positive integers, is (n+k)^1/2>2n^1/2?

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