Задание 502. Найдите значение выражения:
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) \[\frac{\sqrt{3}}{\sqrt{48}} = \sqrt{\frac{3}{48}} = \sqrt{\frac{1}{16}} = \frac{1}{4} = 0.25\]
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) \[\frac{\sqrt{6} \cdot \sqrt{3}}{\sqrt{2}} = \frac{\sqrt{6 \cdot 3}}{\sqrt{2}} = \sqrt{\frac{18}{2}} = \sqrt{9} = 3\]
8) \[\frac{\sqrt{5}}{\sqrt{3} \cdot \sqrt{15}} = \frac{\sqrt{5}}{\sqrt{3 \cdot 15}} = \frac{\sqrt{5}}{\sqrt{45}} = \sqrt{\frac{5}{45}} = \sqrt{\frac{1}{9}} = \frac{1}{3}\]
Ответ: 1) 5; 2) 7; 3) 0.25; 4) 4; 5) 1.2; 6) 3/7; 7) 3; 8) 1/3
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