Question

simplify (1/√2+√3)+(2/√5+√3)​

Answer 1

Answer:

$\frac{1}{ \sqrt{2} + \sqrt{3} } + \frac{2}{ \sqrt{5} + \sqrt{3} }$

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

$= \sqrt{3} - \sqrt{2} + \sqrt{5} - \sqrt{3}$

$= \sqrt{5} - \sqrt{2}$