\[\left( 6\sqrt{3} + \sqrt{2} \right)\left( 6\sqrt{3} - \sqrt{2} \right) = \left( 6\sqrt{3} \right)^{2} - \left( \sqrt{2} \right)^{2} =\]
\[= 36 \cdot 3 - 2 = 108 - 2 = 106\]