Ta có: \(\left(\frac{\sqrt{2}-\sqrt{6}}{\sqrt{3}-1}-\frac{3}{\sqrt{3}}\right):\frac{\sqrt{3}-\sqrt{2}}{5}\)
\(=\left(\frac{-\sqrt{2}\left(\sqrt{3}-1\right)}{\sqrt{3}-1}-\frac{\sqrt{3}\cdot\sqrt{3}}{\sqrt{3}}\right)\cdot\frac{5}{\sqrt{3}-\sqrt{2}}\)
\(=\left(-\sqrt{2}-\sqrt{3}\right)\cdot\frac{5}{\sqrt{3}-\sqrt{2}}\)
\(=-\left(\sqrt{2}+\sqrt{3}\right)\cdot\frac{5\cdot\left(\sqrt{3}+\sqrt{2}\right)}{\left(\sqrt{3}-\sqrt{2}\right)\left(\sqrt{3}+\sqrt{2}\right)}\)
\(=-\left(\sqrt{3}+\sqrt{2}\right)\cdot5\cdot\left(\sqrt{3}+\sqrt{2}\right)\)
\(=-5\cdot\left(5+2\sqrt{6}\right)\)
\(=-25-10\sqrt{6}\)
