Question

root 5 + root 3/ root 5 - root 3 = a+b root 15​

Answer 1

Hey there 

√5 + √3 / √5 - √3 = a + √15b 

Rationalising the denominator ; Multiplying denominator and numerator by √5 + √3 

(√5 + √3)² / (√5)²-(√3)² = a + √15b 

5 + 3 + 2√15 / 5- 3 = a + √15b 

8+2√15 / 2 = a + √15b

4 + √15 = a + √15 b. 

So, 

Comparing equations,

We get a = 4 , b = 1 .

Hope helped! mark me brain✌✌✌

Answer 2

Hope, it will help you.