If x - 1/x = 4 √2 then find the value of ( x + 1/x )2

⇒ If x - \(\frac{1}{x}\) = a then x + \(\frac{1}{x}\) = \(\sqrt {a^2 + 4}\)

Here,

x - \(\frac{1}{x}\) = 4\(\sqrt{2}\), then 

⇒ x + \(\frac{1}{x}\) = \(\sqrt {(4\sqrt{2})^2 + 4}\) = 6

⇒ ( x + \(\frac{1}{x}\) )² = 6² = 36