Question

How do you simplify `sqrt(12/13)`?

Answer 1

See a solution process below

Explanation:

We can rewrite the expression as: `sqrt(12)/sqrt(13)`

We can now rationalize the denominator (or, in other words eliminate the radical from the denominator) by multiplying the fraction by the appropriate value of `1`:

`sqrt(13)/sqrt(13) xx sqrt(12)/sqrt(13)`

`(sqrt(13) xx sqrt(12))/(sqrt(13) xx sqrt(13))`

`sqrt(13 xx 12)/13`

`sqrt(156)/13`

`sqrt(4 xx 39)/13`

`(sqrt(4) xx sqrt(39))/13`

`(2sqrt(39))/13`