3. Вычислим:
- a) $$\sqrt{20} \cdot \sqrt{80} - \frac{54}{\sqrt{6}} = \sqrt{20 \cdot 80} - \frac{54 \cdot \sqrt{6}}{\sqrt{6} \cdot \sqrt{6}} = \sqrt{1600} - \frac{54 \sqrt{6}}{6} = 40 - 9\sqrt{6}$$.
- б) $$\sqrt{300} - 3\sqrt{27} - 5\sqrt{48} = \sqrt{100 \cdot 3} - 3\sqrt{9 \cdot 3} - 5\sqrt{16 \cdot 3} = 10\sqrt{3} - 3 \cdot 3\sqrt{3} - 5 \cdot 4\sqrt{3} = 10\sqrt{3} - 9\sqrt{3} - 20\sqrt{3} = (10 - 9 - 20)\sqrt{3} = -19\sqrt{3}$$.
Ответ: a) $$40 - 9\sqrt{6}$$; б) $$-19\sqrt{3}$$.