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GMAT Problem Solving (PS) | Re: Exponents & Roots MGMAT

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Bunuel wrote:

Burnkeal wrote:
If k and x are positive integers and x is divisible by 6, which of the following CANNOT be the value of\sqrt{288kx} ?

A)24k\sqrt{3}
B)24\sqrt{k}
C)24\sqrt{3k}
D)24\sqrt{6k}
E)72\sqrt{k}

I got it wrong and I have had a look to the explanation and I am just wondering if it can be solved differently than the official explanation of MGMAT.
\sqrt{ 2^5*3^2*k*6n}
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