۶. $\frac{\sqrt{2}}{(3\sqrt{2})^2 - (2\sqrt{3})^2} \times \frac{(3\sqrt{2} - 2\sqrt{3})}{(3\sqrt{2} - 2\sqrt{3})} = \frac{}{(3\sqrt{2})^2 - (2\sqrt{3})^2} = \frac{\sqrt{2}(3\sqrt{2} - 2\sqrt{3})}{18 - 12} = \frac{6 - 2\sqrt{6}}{6} = \frac{6}{6} - \frac{2\sqrt{6}}{6} = 1 - \frac{\sqrt{6}}{3}$