Question

сократите дробь
7-√7
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√14-√7

Answer 1

$frac{7- sqrt{7} }{ sqrt{14}- sqrt{7} }= frac{(7- sqrt{7})( sqrt{14}+ sqrt{7} ) }{( sqrt{14}- sqrt{7} )( sqrt{14}+ sqrt{7} ) }= frac{7sqrt{14}+7sqrt{7}-sqrt{98}-7}{14-7} = frac{7sqrt{14}+7sqrt{7}-7sqrt{2}-7}{7}= \ \ frac{7(sqrt{14}+sqrt{7}-sqrt{2}-1)}{7}=sqrt{14}+sqrt{7}-sqrt{2}-1$