Question

find the answer....​

Answer 1

solution

$\frac{2}{ \sqrt{5} - \sqrt{3} } - \frac{3}{ \sqrt{3} + \sqrt{2} } - \frac{2}{ \sqrt{5} - \sqrt{2} } \\ = \frac{2( \sqrt{5} + \sqrt{3}) }{5 - 3} - \frac{3( \sqrt{3} - \sqrt{2} ) }{3 - 2} - \frac{2( \sqrt{5} +\sqrt{2} )}{5 - 2} \\ = \sqrt{5} + \sqrt{3} - 3 \sqrt{3} + 3 \sqrt{2} - \frac{2}{3} \sqrt{5} - \frac{2}{3} \sqrt{2} \\ = \frac{ \sqrt{5} }{3} - 2 \sqrt{3} +\frac{7 \sqrt{2} }{3} \\ = \frac{ \sqrt{5} - 6 \sqrt{3} + 7\sqrt{2} }{3}$