1. Вычислите: а) \(\sqrt{36\cdot1,21}\); б) \(\sqrt{3\frac{6}{25}\cdot2\frac{2}{49}}\); в) \(\sqrt{15\cdot10\cdot6}\); г) \(\sqrt{2,7}\cdot\sqrt{120}\); д) \(\frac{\sqrt{5}}{\sqrt{500}}\).

1. \(\sqrt{36\cdot1,21}=\sqrt{43,56}=6,6\).
2. \(3\frac{6}{25}=\frac{81}{25}\), \(2\frac{2}{49}=\frac{100}{49}\).
   \[\sqrt{\frac{81}{25}\cdot\frac{100}{49}}=\sqrt{\frac{8100}{1225}}=\frac{90}{35}=\frac{18}{7}.\]
3. \[\sqrt{15\cdot10\cdot6}=\sqrt{900}=30.\]
4. \[\sqrt{2,7}\cdot\sqrt{120}=\sqrt{2,7\cdot120}=\sqrt{324}=18.\]
5. \[\frac{\sqrt{5}}{\sqrt{500}}=\sqrt{\frac{5}{500}}=\sqrt{\frac{1}{100}}=\frac{1}{10}.\]

Ответ: а) 6,6; б) \(\frac{18}{7}\); в) 30; г) 18; д) \(\frac{1}{10}\).