\[\left( 2\sqrt{18} + 3\sqrt{2} \right)^{2} =\]
\[= 4 \cdot 18 + 12 \cdot \sqrt{18 \cdot 2} + 9 \cdot 2 =\]
\[= 72 + 12 \cdot 6 + 18 =\]
\[= 90 + 72 = 162.\]