Question

Root 5 + root 3 / root 5 - root3 =x+y root 15

Answer 1

(√5 + √3)/(√5 - √3) = x + y√15

Rationalise it:

=> (√5 + √3)/(√5 - √3) × (√5 + √3)/(√5 + √3)

=> (5 + 3 + 2√15)/(5 - 3)

=> 2(4 + √15)/2

=> 4 + √15

Thus,

x = 4

y = 1