Question

what is the value of 1+ root 2 divided by 1- root 2

Answer 1

Step-by-step explanation:

$\Large\frac{1 + \sqrt{2} }{1 - \sqrt{2} }$

$\Large\frac{1 + \sqrt{2} }{1 - \sqrt{2} } \times \frac{1 + \sqrt{2} }{1 + \sqrt{2} }$

$\Large \frac{1 + \sqrt{2} + \sqrt{2} + 2 }{1 - 2}$

$\Large \frac{3+ 2 \sqrt{2} }{ - 1}$

$\Large - 3 + 2 \sqrt{2}$