502. Найдите значение выражения: 1) \frac{\sqrt{75}}{\sqrt{3}}; 2) \frac{\sqrt{98}}{\sqrt{2}}; 3) \frac{\sqrt{3}}{\sqrt{48}}; 4) \frac{\sqrt{3,2}}{\sqrt{0,2}}; 5) \frac{\sqrt{72}}{\sqrt{50}}; 6) \frac{\sqrt{27}}{\sqrt{147}}; 7) \frac{\sqrt{6} \cdot \sqrt{3}}{\sqrt{2}}; 8) \frac{\sqrt{5}}{\sqrt{3} \cdot \sqrt{15}}.

Решим каждое выражение по отдельности:

1. $$\frac{\sqrt{75}}{\sqrt{3}} = \sqrt{\frac{75}{3}} = \sqrt{25} = 5$$
2. $$\frac{\sqrt{98}}{\sqrt{2}} = \sqrt{\frac{98}{2}} = \sqrt{49} = 7$$
3. $$\frac{\sqrt{3}}{\sqrt{48}} = \sqrt{\frac{3}{48}} = \sqrt{\frac{1}{16}} = \frac{1}{4}$$
4. $$\frac{\sqrt{3,2}}{\sqrt{0,2}} = \sqrt{\frac{3,2}{0,2}} = \sqrt{16} = 4$$
5. $$\frac{\sqrt{72}}{\sqrt{50}} = \sqrt{\frac{72}{50}} = \sqrt{\frac{36}{25}} = \frac{6}{5} = 1,2$$
6. $$\frac{\sqrt{27}}{\sqrt{147}} = \sqrt{\frac{27}{147}} = \sqrt{\frac{9}{49}} = \frac{3}{7}$$
7. $$\frac{\sqrt{6} \cdot \sqrt{3}}{\sqrt{2}} = \frac{\sqrt{6 \cdot 3}}{\sqrt{2}} = \frac{\sqrt{18}}{\sqrt{2}} = \sqrt{\frac{18}{2}} = \sqrt{9} = 3$$
8. $$\frac{\sqrt{5}}{\sqrt{3} \cdot \sqrt{15}} = \frac{\sqrt{5}}{\sqrt{3 \cdot 15}} = \frac{\sqrt{5}}{\sqrt{45}} = \sqrt{\frac{5}{45}} = \sqrt{\frac{1}{9}} = \frac{1}{3}$$