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Is sqrt(n+k) > 2*sqrt(n)?

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LulaBrazilia Master | Next Rank: 500 Posts Default Avatar
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Is sqrt(n+k) > 2*sqrt(n)?

Post Sun Mar 09, 2014 6:36 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    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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    Post Sun Mar 09, 2014 6:47 pm
    This question tests your understanding that so long as you're dealing with positive values, x>y means that x^2 > y^2. So we can square each side and rephrase the question as: is n+k > 4n? --> is n>3k?

    The answer is A. I go through the question in detail in the full solution below (taken from the GMATFix App).

    ttp://www.youtube.com/watch?v=D5uiKKkBAKE" target="_blank">

    -Patrick

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    theCodeToGMAT Legendary Member
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    Post Sun Mar 09, 2014 7:16 pm
    n & k = +ve
    sqrt(n+k) > 2*sqrt(n)
    Or,
    n + k > 4n
    TO FIND: k > 3n

    Statement 1:
    k > 3n
    SUFFICIENT

    Statement 2:
    n + k > 3n
    k > 2n
    INSUFFICIENT

    {A}

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