2. Вычислите: а) \(\sqrt{25\cdot16}\); б) \(\sqrt{1\frac{9}{16}}\); в) \(\sqrt3\cdot\sqrt{27}\); г) \(\frac{\sqrt{27}}{\sqrt3}\).

1. \(\sqrt{25\cdot16}=\sqrt{400}=20\).
2. \(\sqrt{1\frac{9}{16}}=\sqrt{\frac{25}{16}}=\frac54\).
3. \(\sqrt3\cdot\sqrt{27}=\sqrt{81}=9\).
4. \(\frac{\sqrt{27}}{\sqrt3}=\sqrt{\frac{27}{3}}=\sqrt9=3\).

Ответ: а) 20; б) \(\frac54\); в) 9; г) 3.