Сократите дробь 7-√7 --------- √14-√7

[latex] \frac{7- \sqrt{7} }{ \sqrt{14}- \sqrt{7} }= \frac{(7- \sqrt{7})( \sqrt{14}+ \sqrt{7} ) }{( \sqrt{14}- \sqrt{7} )( \sqrt{14}+ \sqrt{7} ) }= \frac{7\sqrt{14}+7\sqrt{7}-\sqrt{98}-7}{14-7} = \frac{7\sqrt{14}+7\sqrt{7}-7\sqrt{2}-7}{7}= \\ \\ \frac{7(\sqrt{14}+\sqrt{7}-\sqrt{2}-1)}{7}=\sqrt{14}+\sqrt{7}-\sqrt{2}-1[/latex]