Question

√3+√5/√3-√5= a+b√15 ch 1 class 9

Answer 1

Answer:

$a = - 4 \: and \: b = - 1$

Step-by-step explanation:

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

on comparing we get,

$a = - 4 \: and \: b = - 1$

Hope this helps you. PLEASE MARK ME AS THE BRAINLIEST .