Question

How do you simplify `36/sqrt15`?

Answer 1

`36/sqrt15=(12sqrt15)/5`

Explanation:

`36/sqrt15`

= `36/sqrt15xxsqrt15/sqrt15`

= `(36xxsqrt15)/(sqrt15xxsqrt15)`

= `(36xxsqrt15)/15`

= `(cancel36^12xxsqrt15)/(cancel15^5)`

= `(12sqrt15)/5`

Answer 2

`(12sqrt15)/5`

Explanation:

To simplify a fraction with a radical, we want to make sure that there is no radical on the bottom. In order to do this, we can multiply the fraction by `sqrt15/sqrt15`"

`36/sqrt15 * sqrt15/sqrt15`

`= (36 * sqrt15) / (sqrt15 * sqrt15)`

`= (36sqrt15)/15`

We have one last step to simplify this expression. Notice that the top and bottom both share a factor of 3 now. So, we need to divide both the top and bottom by 3:

`(36sqrt15)/15 div 3/3`

`= (36sqrt15 div 3)/(15div3)`

`= (12sqrt15)/5`

Final Answer