Question

find the value of a and b if. 1). √5+√3/√5-√3 = a+b √15 plzz solve it

Answer 1

hiii!!!

here's Ur answer..

given :-
$\frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \\ \\ = \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \times \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} + \sqrt{3} } \\ \\ = \frac{ {( \sqrt{5} + \sqrt{3} )}^{2} }{ ({ \sqrt{5} )}^{2} - {( \sqrt{3}) }^{2} } \\ \\ = \frac{ {{( \sqrt{5} )}^2+ 2( \sqrt{5} \times \sqrt{3} ) }+ {( \sqrt{3} )}^{2} }{ 5 - 3 } \\ \\ = \frac{5 + 2 \sqrt{15} + 3}{2} \\ \\ = \frac{8 + 2 \sqrt{15} }{2} \\ \\ = 4 + \sqrt{15}$

hence, a = 4 and b = 1

hope this helps..!!