Data Sufficiency (DS) | Re: If n and k are positive integers, is (n + k)^(1/2) > 2n^(1/2)?

Is √(n+k)>2√n , yes/no?

Condition n>0 (I) k>0 (I) [n and k are positive integers]

Simplify:
(√(n+k) / √n)^2 > 2
n+k/n>4

n+k>4n

Therefore is k>3n... yes/no?
or
Is k>3 where the least possible value of n is 1
:. Possible values of k = 4,5,6....

St 1: k>3n ...Sufficient

Possible values of k= 4, 5, 6...

St 2: K>2n

possible values of k = 3,4,5....

Because K can be equal to 3 or greater than 3 it is not sufficient.

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