\[6\sqrt{\frac{2}{3}} = \sqrt{36 \cdot \frac{2}{3}} = \sqrt{24};\]
\[4\sqrt{\frac{3}{2}} = \sqrt{16 \cdot \frac{3}{2}} = \sqrt{24};\]
\[6\sqrt{\frac{2}{3}} = 4\sqrt{\frac{3}{2}}.\]