Question

find the value of (1 + root 2) / (1 - root 2)​

Answer 1

Answer:

$= > \frac{1 + \sqrt{2} }{1 - \sqrt{2} } \\ \\ = > \frac{1 + \sqrt{2} }{1 - \sqrt{2} } \times \frac{1 + \sqrt{2} }{1 + \sqrt{2} } \\ \\ = > \frac{ {(1 + \sqrt{2} )}^{2} }{ {1}^{2} - {( \sqrt{2} )}^{2} } \\ \\ = > \frac{3 + 2 \sqrt{2} }{1 - 2} \\ \\ = - 3 - 2 \sqrt{2}$