​ If x = 3 + 2 √2, then find the value of √x - 1/√x. ​

Question

If x = 3 + 2 √2, then find the value of √x - \(\frac{1}{\sqrt{x}}\).

Answer 1

Given x = 3 + 2√2

So, √x – 1/√x 

= √2 +1 – (√2 - 1)

= 1 + 1 

= 2.