Question

see the pic plz tell the answer!!!!!!!

Answer 1

$\sqrt{5} + \sqrt{3} \div \sqrt{5} - \sqrt{3} = a + \sqrt{15} b$
On rationalisation we get

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

$5 + 3 + 2\sqrt{15} \div 5 - 3$

$8 + 2 \sqrt{15} \div 2$

$4 + \sqrt{15}$

On relating above answer with RHS

$4 + \sqrt{15} = a + \sqrt{15} b$
We can say

a = 4 and b = 1

Thanks