Question

Ifa=5-2√6then find the value of √a-1/√a​

Answer 1

a = 5 - 2root6

a = 2 + 3 - 2. root2 . root3

a = (root3 - root2)^2

roota = root3 - root2

1/roota = 1/(root3 - root2)

= 1/(root3 - root2) * (root3+root2)/(root3+root2)

= (root3 + root2)/ 3 - 2

so, roota - 1/roota = -2root2