If x = 5 + 2 * root 6 , then (x - 1) / root x =

 x = 5 + 2√6 

now,

(x - 1) / √x

is required.

x - 1 = 5 + 2√6 - 1 = 4 + 2√6

now, x = 5 + 2√6 = (√2)² + (√3)² + 2(√2)(√3) = (√2 + √3)²

therefore, √x = √2 + √3

hence,

ans = (4 + 2√6) / (√2 + √3) = 2√2 (√2 + √3) / (√2 + √3) = 2√2

hope it helps!!

cheers!!!

thumbs up plzz...