\[7\sqrt{\frac{2}{7}} = \ \frac{1}{2}\sqrt{56}\]
\[7\sqrt{\frac{2}{7}} = \sqrt{\frac{2 \cdot 49}{7}} = \sqrt{14}\]
\[\frac{1}{2}\sqrt{56} = \sqrt{\frac{56}{4}} = \sqrt{14}\]
\[\sqrt{14} = \sqrt{14}.\]