Решебник по алгебре 8 класс Мерзляк ФГОС Задание 502

\[\boxed{\mathbf{502\ (502).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ \frac{\sqrt{75}}{\sqrt{3}} = \sqrt{\frac{75}{3}} = \sqrt{25} = 5\]

\[2)\ \frac{\sqrt{98}}{\sqrt{2}} = \sqrt{49} = 7\]

\[3)\ \frac{\sqrt{3}}{\sqrt{48}} = \sqrt{\frac{1}{16}} = \frac{1}{4}\]

\[4)\ \frac{\sqrt{3,2}}{\sqrt{0,2}} = \sqrt{16} = 4\]

\[5)\ \frac{\sqrt{72}}{\sqrt{50}} = \sqrt{1,44} = 1,2\]

\[6)\ \frac{\sqrt{27}}{\sqrt{147}} = \frac{\sqrt{9}}{\sqrt{49}} = \frac{3}{7}\]

\[7)\ \frac{\sqrt{6} \cdot \sqrt{3}}{\sqrt{2}} = \frac{\sqrt{18}}{\sqrt{2}} = \sqrt{9} = 3\]

\[8)\ \frac{\sqrt{5}}{\sqrt{3} \cdot \sqrt{15}} = \frac{\sqrt{5}}{\sqrt{45}} = \sqrt{\frac{5}{45}} =\]

\[= \sqrt{\frac{1}{9}} = \frac{1}{3}\]

\[\boxed{\mathbf{50}\mathbf{2}\text{.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

Пояснение.

Решение.

\[\sqrt{5} \approx 2,23606\ldots\]

\[1)\ \sqrt{5} = 2,23;\]

\[2)\ \sqrt{5} = 2,24.\ \]