Question

simplify the following
2√7/√5+√3

Answer 1

$\frac{2 \sqrt{7} }{ \sqrt{5} + \sqrt{3} } \\ = \frac{2 \sqrt{7} ( \sqrt{5} - \sqrt{3} )}{( \sqrt{5} + \sqrt{3}) ( \sqrt{5} - \sqrt{3} )} \\ = \frac{2 \sqrt{35} - 2 \sqrt{21} }{5 - 3} \\ = \frac{2( \sqrt{35} - \sqrt{21} )}{2} \\ = \sqrt{35} - \sqrt{21}$