Question

find the value of a and b

Answer 1

= (√5+√3)/(√5-√3) × (√5+√3)/(√5+√3)

= (√5+√3)²/(√5-√3)(√5+√3)

= (√5²+√3²+2(√5)(√3)) / (√5²-√3²)

= (5+3+2√15)/(5-3)

= (8+2√15)/2

= 2(4+√15)/2

= 4+√15 = 4 - (-√15)

= a - √15b

a = 4 and b = -1

Answer 2

$(\sqrt{5} + \sqrt{3} ) \times \sqrt{3} = \sqrt{15} + 3$
compare with a-√15b we get a=3 and b=-1
and also multiply with √5 we get a=5 and b same.thanks