Сравните числа: 7√(2/7) и 1/2 √56.

Ответ:

\[7\sqrt{\frac{2}{7}} = \ \frac{1}{2}\sqrt{56}\]

\[7\sqrt{\frac{2}{7}} = \sqrt{\frac{2 \cdot 49}{7}} = \sqrt{14}\]

\[\frac{1}{2}\sqrt{56} = \sqrt{\frac{56}{4}} = \sqrt{14}\]

\[\sqrt{14} = \sqrt{14}.\]