Question

How do you rationalize the denominator and simplify `12/sqrt13`?

Answer 1

`(12sqrt13)/13`

Explanation:

To rationalise the denominator for `a/sqrtb` you multiply by `sqrtb/sqrtb` since this turns the `sqrtb` on the bottom into a `b`, and is the same as multiply by `1`.

`12/sqrt13*sqrt13/sqrt13=(12sqrt(13))/13`

Since `12/13` cannot be simplified, we leave it as `(12sqrt13)/13`