Question

plz help me maths equation of rational no.​

Answer 1

$x = 1 - \sqrt{2} \\ \frac{1}{x} = \frac{1}{1 - \sqrt{2} } \\ \frac{1}{x} = \frac{1 + \sqrt{2} }{ {1}^{2} - ( { \sqrt{2} })^{2} } \\ \frac{1}{x} = \frac{1 + \sqrt{2} }{1 - 2} \\ \frac{1}{x} = - 1 - \sqrt{2} \\ x - \frac{1}{x} = 1 - \sqrt{2} + 1 + \sqrt{2} \\ = 2 \\ ( {x - \frac{1}{x} })^{4} = {2}^{4} = 16$