Question

If x=1/(3+2√2) then find the value of x-1/x

Answer 1

$x=\frac{1}{3+2\sqrt{2} }$

It implies that⇒

$\frac{1}{x} =\frac{3+2\sqrt{2} }{1}$

Rationalizing x⇒

$x=\frac{1}{3+2\sqrt{2} }$   ,multiply numerator and denominator with (3-2 root 2)