Question

find the value of 1 by
1+root2​

Answer 1

Answer:

1√212356666799900023467789900

Answer 2

Answer:

➡ √2-1

Step-by-step explanation:

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

$= \: \frac{1}{1 + \sqrt{2} } \times \frac{1 - \sqrt{2} }{1 - \sqrt{2} }$

(rationalising the denominator)

$\frac{1 - \sqrt{2} }{ {1}^{2} - { \sqrt{2} }^{2} }$

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

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

$= \: - (1 - \sqrt{2)}$

or

√2 -1