1. Вычислите: а) \(3\sqrt{1\frac{11}{25}}-1\); б) \(\sqrt{7,5}\cdot\sqrt{0,3}\); в) \(\frac{\sqrt{250}}{\sqrt{10}}\); г) \(\sqrt{5^4\cdot3^2}\).

1. \(1\frac{11}{25}=\frac{36}{25}\), поэтому \(3\sqrt{1\frac{11}{25}}-1=3\cdot\frac65-1=\frac{13}{5}\).
2. \(\sqrt{7.5}\cdot\sqrt{0.3}=\sqrt{7.5\cdot0.3}=\sqrt{2.25}=1.5\).
3. \(\frac{\sqrt{250}}{\sqrt{10}}=\sqrt{\frac{250}{10}}=\sqrt{25}=5\).
4. \(\sqrt{5^4\cdot3^2}=5^2\cdot3=75\).

Ответ: а) \(\frac{13}{5}\); б) \(1,5\); в) \(5\); г) \(75\).