Question

If root 5+root3 divided by root5-root3=a-root 15 b Find values of a and b

Answer 1

Step-by-step explanation:

√5 + √3/√5 - √3 = a - √15 b

Rationalise : √5 + √3/√5 - √3 × √5 + √3/√5 + √3

= (√5 + √3)²/(√5)² - (√3)²

[Using identity : (a + b)² = a² + b² +2ab

(a + b)(a - b) = a² - b²]

= (√5)² + (√3)² + 2(√5)(√3)/5 - 3

= 5 + 3 + 2√15/2

= 8 + 2√15/2

= 2(4 + √15)/2

= 4 + √15

HERE, a = 4 and b = -1

HOPE THIS HELPS YOU❤❤❤❤

Answer 2

Answer:

Hi

Step-by-step explanation:

√5 + √3/√5 - √3 = a - √15 b

Rationalise : √5 + √3/√5 - √3 × √5 + √3/√5 + √3

= (√5 + √3)²/(√5)² - (√3)²

[Using identity : (a + b)² = a² + b² +2ab

(a + b)(a - b) = a² - b²]

= (√5)² + (√3)² + 2(√5)(√3)/5 - 3

= 5 + 3 + 2√15/2

= 8 + 2√15/2

= 2(4 + √15)/2

= 4 + √15

HERE, a = 4 and b = -1