Сократите дробь: (7+√7)/(√2+√14).

\[\frac{7 + \sqrt{7}}{\sqrt{2} + \sqrt{14}} = \frac{\sqrt{7}\left( \sqrt{7} + 1 \right)}{\sqrt{2}\left( 1 + \sqrt{7} \right)} = \frac{\sqrt{7}}{\sqrt{2}} = \frac{\sqrt{14}}{2}\]