Question

find a+b please be quick and correct

Answer 1

Answer:

we have to find value of a and b not a+b

Step-by-step explanation:

we will solve this by rationalizing

(√5 + √3)/(√5 - √3) × (√5 + √3)/(√5 + √3) =a +b√15

(√5 + √3)²/(√5 - √3)(√5 + √3) =a +b√15

(√5)²+ (√3)² +2(√5)(√3)/(√5)²-(√3)²=a +b√15

(5+3+2√15)/5-2=a +b√15

8+2√15/3=a +b√15

By separating LCM

8/3 +2√15/3=a +b√15

by comparing value we will get value of a and b

a=8/3

b=2/3