Сравните числа: 4*корень из (15/8) и 1/5*корень из 750.

Ответ:

\[4\sqrt{\frac{15}{8}}\ \ и\ \ \ \frac{1}{5}\sqrt{750}\]

\[4\sqrt{\frac{15}{8}} = \sqrt{\frac{16 \cdot 15}{8}} = \sqrt{30};\ \ \ \ \]

\[\frac{1}{5}\sqrt{750} = \sqrt{\frac{7 \cdot 50}{25}} = \sqrt{30};\ \ \ \]

\[\sqrt{30} = \sqrt{30}\]

\[4\sqrt{\frac{15}{8}} = \frac{1}{5}\sqrt{750}.\]