\[0,4\sqrt{3\frac{1}{8}} < \sqrt{0,6}\text{\ \ }\]
\[0,4\sqrt{3\frac{1}{8}} = \sqrt{\frac{4}{25} \cdot \frac{25}{8}} =\]
\[= \sqrt{\frac{1}{2}} = \sqrt{0,5}.\]