Question

How to rationalize the denominator here, `4/(sqrt7 - 2` ?

Answer 1

`4/3(sqrt7+2)`

Explanation:

`4/(sqrt7-2)`.To rationalize we should multiply both denominator

and numerator by the conjugate of denominator to get rid of

roots from the denominator by achieving `a^2-b^2` form.

`=(4*(sqrt7+2))/((sqrt7-2)(sqrt7+2))`

`(4*(sqrt7+2))/(7-4) = (4*(sqrt7+2))/3`

`4/3(sqrt7+2)` [Ans]