Question

If x= √2+1, find value of (x - 1/x)²

Answer 1

Answer:

$x = \sqrt{2} + 1 \\ \frac{1}{x} = \frac{1}{ \sqrt{2 } + 1} \\ \frac{1}{x} = \frac{ \sqrt{2} - 1}{2 - 1} \\ \frac{1}{x} = \sqrt{2} - 1 \\ x - \frac{1}{x} = 2 \\ (x - \frac{1}{x} )^{2} = 4$