Question

How do you rationalize `12/sqrt13`?

Answer 1

See a solution process below:

Explanation:

To rationalize a fraction we need to multiply the fraction by the appropriate form of `1` to eliminate the radical in the denominator:

`12/sqrt(13) => sqrt(13)/sqrt(13) xx 12/sqrt(13) => (12sqrt(13))/(sqrt(13))^2 => (12sqrt(13))/13`

Answer 2

It becomes `(12*sqrt(13))/13`

Explanation:

To get this, you need to understand that `sqrt13*sqrt13=13`.

So you want to multiply the entire fraction by `sqrt13/sqrt13` which will remove the surd (square root) from the denominator, moving it to the numerator i.e. `(12/sqrt13)*sqrt13/sqrt13 = (12*sqrt(13))/13`.

Hope this helps.