Question

(Root 3+root 2)/5+root2

Answer 1

hiii!!!

here's ur answer...

given :- (√3 + √2) / (5 + √2)

$= \frac{ \sqrt{3} + \sqrt{2} }{5 + \sqrt{2} } \times \frac{5 - \sqrt{2} }{5 - \sqrt{2} } \\ \\ = \frac{( \sqrt{3} + \sqrt{2})(5 - \sqrt{2} ) }{(5 + \sqrt{2})(5 - \sqrt{2} ) } \\ \\ = \frac{ \sqrt{3} (5 - \sqrt{2} ) + \sqrt{2} (5 - \sqrt{2} )}{ {(5})^{2} - {( \sqrt{2} )}^{2} } \\ \\ = \frac{5 \sqrt{3} - \sqrt{6} + 5 \sqrt{2} - 2 }{25 - 2} \\ \\ = \frac{5 \sqrt{3} - \sqrt{6} + 5 \sqrt{2} - 2 }{23}$

hope this helps..!!