Question

Rationalize the following​

Answer 1

Step-by-step explanation:

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

(On Rationalizing )

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

$= \frac{ \sqrt{2} - 1 }{( { \sqrt{2} )}^{2} - {(1)}^{2} }$

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

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

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