Сравните: 5/3* корень из (10 4/5) и 6* корень из (5/6).

\[\frac{5}{3}\sqrt{10\frac{4}{5}} = 6\sqrt{\frac{5}{6}}\text{\ \ }\]

\[\frac{5}{3}\sqrt{10\frac{5}{4}} = \sqrt{\frac{25 \cdot 54}{9 \cdot 5}} = \sqrt{30};\ \]

\[6\sqrt{\frac{5}{6}} = \sqrt{\frac{36 \cdot 5}{6}} = \sqrt{30}.\]