№4. Найти значение частного: 1) √8/√50; 2) √99/√11; 3) √7/√112; 4) √72000/√2000; 5) √4,8/√0,3; 6) √54/√1,5; 7) √4,5/√128; 8) √2,7/√7,5.

Используем свойство: \(\frac{\sqrt a}{\sqrt b}=\sqrt{\frac ab}\).

1. \(\frac{\sqrt8}{\sqrt{50}}=\sqrt{\frac8{50}}=\sqrt{\frac4{25}}=\frac25\).
2. \(\frac{\sqrt{99}}{\sqrt{11}}=\sqrt9=3\).
3. \(\frac{\sqrt7}{\sqrt{112}}=\sqrt{\frac1{16}}=\frac14\).
4. \(\frac{\sqrt{72000}}{\sqrt{2000}}=\sqrt{36}=6\).
5. \(\frac{\sqrt{4.8}}{\sqrt{0.3}}=\sqrt{16}=4\).
6. \(\frac{\sqrt{54}}{\sqrt{1.5}}=\sqrt{36}=6\).
7. \(\frac{\sqrt{4.5}}{\sqrt{128}}=\sqrt{\frac9{256}}=\frac3{16}\).
8. \(\frac{\sqrt{2.7}}{\sqrt{7.5}}=\sqrt{\frac9{25}}=\frac35\).

Ответ: 1) 2/5; 2) 3; 3) 1/4; 4) 6; 5) 4; 6) 6; 7) 3/16; 8) 3/5.