Сравните числа 6*корень из (2/3) и 4*корень из (3/2).

\[6\sqrt{\frac{2}{3}}\ \ и\ \ 4\sqrt{\frac{3}{2}}\]

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

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

\[\sqrt{24} = \sqrt{24}\]

\[6\sqrt{\frac{2}{3}} = 4\sqrt{\frac{3}{2}}.\]