Сравните: 2/5* корень из (62 1/2) и 4/3* корень из (5 5/8).

\[\frac{2}{5}\sqrt{62\frac{1}{2}} = \frac{4}{3}\sqrt{5\frac{5}{8}}\text{\ \ }\]

\[\frac{2}{5}\sqrt{62\frac{1}{2}} = \sqrt{\frac{4}{25} \cdot \frac{125}{2}} = \sqrt{10};\]

\[\frac{4}{3}\sqrt{5\frac{5}{8}} = \sqrt{\frac{16}{9} \cdot \frac{45}{8}} = \sqrt{10}.\]