Question

$\frac{ \sqrt{5} - \sqrt{3} }{ \sqrt{5} + \sqrt{3} } = a + b \sqrt{15}$
solve and find a and b​

Answer 1

Step-by-step explanation:

if √5+√3/√5-√3=a+b√15 a,b=?

multiply and divide by √5+√3

= √5+√3/√5-√3 * √5+√3/√5+√3

= (√5+√3)²/(√5)²-(√3)²

= (√5)²+ 2*√5*√3+(√3)²/5-3

= 5+2√15+3/2 = 8+2√15/2

=4+√15

hence a=4 b=1