\[4\sqrt{3\frac{1}{2}} - 0,5\sqrt{56} - 3\sqrt{1\frac{5}{9}} =\]
\[= \sqrt{16 \cdot \frac{7}{2}} - \sqrt{56 \cdot \frac{1}{4}} - \sqrt{9 \cdot \frac{14}{9}} =\]
\[= \sqrt{56} - \sqrt{14} - \sqrt{14} =\]
\[= 2\sqrt{14} - \sqrt{14} - \sqrt{14} = 0.\]