Question

Rationalize the following​

Answer 1

Explanation:

`(1)/( √(2) + 1 )`

(On Rationalizing )

`= (1)/( √(2) + 1) * ( √(2) - 1)/( √(2) - 1 )`

`= \frac{ √(2) - 1 }{( { √(2) )}^(2) - {(1)}^(2) }`

`= ( √(2) - 1)/(2 - 1)`

`= ( √(2) - 1)/(1)`

`= √(2) - 1(ans)`