Question

find value od a and b
√5+√3/√5-3=a+b√15

Answer 1

Step-by-step explanation:

DEADSOUL×××××××××××

Answer 2

ANSWER :

TAKING L.H.S✍️

$\frac{ \sqrt{5} + \sqrt{3} }{\sqrt{5} - \sqrt{3} }$

RATIONALISING✍️

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

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

$\frac{5 + 3 + 2 \sqrt{15} }{2}$

$\frac{4 + \sqrt{15} }{1}$

COMPARING TO RHS✍️

$\frac{4 + \sqrt{15} }{1} = \frac{a + b \sqrt{15} }{1}$

✨WE GET✨

$a = 4$

$b = 1$

HOPE IT HELPS

FOLLOW

THANK

MARK AS BRAINLIEST