Question

If a = 3 - √8 , Find a – 1/a​

Answer 1

Step-by-step explanation:

$a - \frac{1}{a} \\ = 3 - \sqrt{8} - \frac{1}{3 - \sqrt{8} } \\ = \frac{9 + 8 - 6 \sqrt{8 - 1} }{3 - \sqrt{8} } \\ \\ \frac{6(3 - \sqrt{8}) }{3 - \sqrt{8} } \\ = 6$