Сравните: 5/6*корень из (14 2/5) и 2/3*корень из (22 1/2).

Ответ:

\[\frac{5}{6}\sqrt{14\frac{2}{5}} = \frac{2}{3}\sqrt{22\frac{1}{2}}\]

\[\frac{5}{6}\sqrt{14\frac{2}{5}} = \sqrt{\frac{25}{36} \cdot \frac{72}{5}} = \sqrt{10}\]

\[\frac{2}{3}\sqrt{22\frac{1}{2}} = \sqrt{\frac{4}{9} \cdot \frac{45}{2}} = \sqrt{10}\]