Question: Of the following, which is the best approximation of $\sqrt{1.5}(266)^{3/2}$
$(A)~1,000~~~~(B)~2,700~~~~(C)~3,200~~~~(D)~4,100~~~~(E)~5,300$
I used $1.5\approx1.44=1.2^2$ and $266\approx256=16^2$. Therefore the approximation by me is $4096$, so I chose $(D)$ which is wrong. The correct answer is $(E)$.
How should I find it out?