Question

Simplyfy √2+√3/√2-√3+√2-√3/√2+√3

Answer 1

HEY MATE. .......HERE'S YOUR ANSWER. . . . .
$= \frac{ \sqrt{2 } + \sqrt{3} }{ \sqrt{2} - \sqrt{3} } + \frac{ \sqrt{2} - \sqrt{3} }{ \sqrt{2} + \sqrt{3} } \\ = \frac{ {( \sqrt{2} + \sqrt{3}) }^{2} + { (\sqrt{2} - \sqrt{3} )}^{2} }{( { \sqrt{2} )}^{2} + {( \sqrt{3}) }^{2} } \\ = \frac{(2 + 3 + 2 \sqrt{6}) + (2 + 3 - 2 \sqrt{6} ) }{(2) + (3)} \\ = \frac{(6 + 2 \sqrt{6 } + 6 - 2 \sqrt{6}) }{5} \\ = \frac{12}{5}$