Question

if a and b are rational number and√11-√7/√11+√7=a-b√77 find the value of a and b​

Answer 1

Answer:

a=9/2; b=1/2

Step-by-step explanation:

√11-√7/√11+√7 (given)

on rationalizing the denominator with its conjugate, we get

(√11-√7/√11+√7)×(√11-√7/√11-√7)

⇒(√11-√7)^2÷(11-7)

⇒2(9-√77)÷4

⇒(9-√77)÷2

On comparing with a-b√77, we get a =9/2 and  b=1/2