Question

if x=3_2√2 then find √x+1/√x

Answer 1

x = 3-2√2
1/x = 1/ 3-2√2
= 3+2√2

(√x + 1/√x)^2 = x + 1/x + 2
= 3-2√2 + 3+2√2 + 2
= 8
Therefore, √x + 1/√x = √8 = 2√2