Question

Сократите дробь
$frac{2+ sqrt{6} }{ sqrt{6}+3 }$

Answer 1

$displaystyle frac{2+ sqrt{6} }{ sqrt{6}+3 } = frac{ sqrt{2} ( sqrt{2} + sqrt{3} )}{ sqrt{3} ( sqrt{2} + sqrt{3} )} = sqrt{ frac{2}{3} }$