Question

quanto é
√2
 ------------
√2+√3

Answer 1

$\frac{ \sqrt{2} }{ \sqrt{2} + \sqrt{3} } = \frac{ \sqrt{2}.(\sqrt{2} - \sqrt{3}) }{ (\sqrt{2} + \sqrt{3}).(\sqrt{2} - \sqrt{3}) } = \frac{ \sqrt{2}.\sqrt{2} - \sqrt{2} . \sqrt{3} }{ ( \sqrt{2} )^{2} - ( \sqrt{3} )^{2} } = \frac{2- \sqrt{6} }{2-3} =\frac{2- \sqrt{6} }{-1}= \sqrt{6} -2$