1. \(\dfrac{1}{2-\sqrt{6}}-\dfrac{1}{2+\sqrt{6}}=\dfrac{2+\sqrt{6}-2+\sqrt{6}}{4-6}=\dfrac{2\sqrt{6}}{-2}=-\sqrt{6}\)
2. \(\sqrt{27a}.\sqrt{3a}=\sqrt{81a^2}=9a\left(a>0\right)\)
1: \(\dfrac{1}{2-\sqrt{6}}-\dfrac{1}{2+\sqrt{6}}\)
\(=\dfrac{2+\sqrt{6}-2+\sqrt{6}}{-2}\)
\(=\dfrac{2\sqrt{6}}{-2}=-\sqrt{6}\)
3: \(\sqrt{27a}\cdot\sqrt{3a}=\sqrt{81a^2}=9a\)