3.27. Найдите значения выражений: 1) \(\sqrt{\sqrt{625}}\); 2) \(\sqrt{\sqrt{0,1296}}\); 3) \(6\cdot\left(\sqrt{\frac{2}{3}}\right)^4\); 4) \(2-\left(\sqrt{\frac{7}{12}}\right)^2\).

1. \(\sqrt{\sqrt{625}}=\sqrt{25}=5\).

2. \(\sqrt{\sqrt{0,1296}}=\sqrt{0,36}=0,6\).

3. \(6\cdot\left(\sqrt{\frac{2}{3}}\right)^4=6\cdot\left(\frac{2}{3}\right)^2=6\cdot\frac{4}{9}=\frac{8}{3}\).

4. \(2-\left(\sqrt{\frac{7}{12}}\right)^2=2-\frac{7}{12}=\frac{24}{12}-\frac{7}{12}=\frac{17}{12}\).

Ответ: 1) 5; 2) 0,6; 3) \(\frac{8}{3}\); 4) \(\frac{17}{12}\).