1. Вычислите: а) \(\sqrt{0,04}\cdot16\); б) \(\sqrt{\frac{289}{625}}\); в) \(\frac{\sqrt{52}}{\sqrt{208}}\); г) \(\sqrt{(-2)^6}\cdot9^3\).

1. \(\sqrt{0,04}\cdot16=0,2\cdot16=3,2\).
2. \(\sqrt{\frac{289}{625}}=\frac{\sqrt{289}}{\sqrt{625}}=\frac{17}{25}\).
3. \(\frac{\sqrt{52}}{\sqrt{208}}=\sqrt{\frac{52}{208}}=\sqrt{\frac14}=\frac12\).
4. \(\sqrt{(-2)^6}\cdot9^3=\sqrt{64}\cdot729=8\cdot729=5832\).

Ответ: а) 3,2; б) \(\frac{17}{25}\); в) \(\frac12\); г) 5832.