Question

Any one please solve it

Answer 1

$a \: = 3 + \sqrt{2} \\ \frac{1}{a} \: = \frac{1}{3 + \sqrt{2} } \\ \frac{1}{a} = \frac{1}{3 + \sqrt{2} } \times \frac{3 - \sqrt{2} }{3 - \sqrt{2} } \: \: \: \\ \: \: \: \: = \frac{3 - \sqrt{2} }{9 - 2} \: \: \: (a + b)(a - b) = {a}^{2} - {b}^{2} \\ \: \: \: \: = \frac{3 - \sqrt{2} }{7} \\ a - \frac{1}{a} =$