x = 3 + 2*sqrt(2). Find x^(1/2) + x^(-1/2)

Question
If x = 3 + 2 * sqrt(2)
Find x^(1/2) + x^(-1/2)

Answer
x = 3 + 2*sqrt(2)
= (sqrt(2) + 1) ^ 2.
So,
x^(1/2) = sqrt(2) +1 and
x^(-1/2) = sqrt(2)-1.
So, x^(1/2) + x^(-1/2) = 2*sqrt(2).