# Aptitude Question ID : 93627

The mean proportional between $(3+\sqrt{2})$ and $(12-\sqrt{32})$ is:
[A]$6$
[B]$\sqrt{7}$
[C]$2\sqrt{7}$
[D]$\frac{15-3\sqrt{2}}{2}$

$\mathbf{2\sqrt{7}}$
Mean Proportional =
$=> \sqrt{(3+\sqrt{2})(12-\sqrt{32})}$
$=> \sqrt{(3+\sqrt{2})4(3-\sqrt{2})}$
$=> 2\sqrt{9-2} = 2\sqrt{7}$
Hence option [C] is the right answer.