Question

Find the value of the determinant: $\left|\begin{array}{cc}\sqrt{2}& 2\sqrt{3}\\ 3\sqrt{2}& \sqrt{3}\end{array}\right|$.

Answer 1

$\begin{array}{c}\left(\sqrt{2}.\sqrt{3}+3\sqrt{2.}2\sqrt{3}\right)\\ \sqrt{6}+6\sqrt{6}\\ 7\sqrt{6}\end{array}$