11) \(\left(\dfrac{\sqrt{18}-\sqrt{6}}{1-\sqrt{3}}-\dfrac{\sqrt{15}-\sqrt{3}}{1-\sqrt{5}}\right).\dfrac{2022}{\sqrt{3}-\sqrt{6}}\)
\(=\left[\dfrac{-\sqrt{6}\left(1-\sqrt{3}\right)}{1-\sqrt{3}}+\dfrac{\sqrt{3}\left(1-\sqrt{5}\right)}{1-\sqrt{5}}\right].\dfrac{2022}{\sqrt{3}-\sqrt{6}}\)
\(=\left(-\sqrt{6}+\sqrt{3}\right).\dfrac{2022}{\sqrt{3}-\sqrt{6}}\)
\(=2022\)