Question

Please solve this question with STEPS ​

Answer 1

$\\ \frac{(1 + \sqrt{2} )}{(1 - \sqrt{2}) }$

Now we have to rationalise the denominator

$\\ \\ \sf \frac{(1 + \sqrt{2} )}{(1 - \sqrt{2} )} \\ \\ \sf \: \frac{(1 + \sqrt{2}) }{(1 - \sqrt{2}) } \times \frac{(1 + \sqrt{2} )}{(1 + \sqrt{2}) } \\ \\ \\ \sf \frac{ {(1 + \sqrt{2}) }^{2} }{ {1}^{2} - { (\sqrt{2} )}^{2} } \\ \\ \sf \frac{1 + 2 + 2 \sqrt{2} }{ - 1} \\ \\ \sf \: -(3 + 2\sqrt{2}) \\ \\ \boxed{ \red{ \sf - 3 - 2 \sqrt{2}}}$