Question

How do you simplify `3sqrt5+6sqrt5`?

Answer 1

`9sqrt5`

Explanation:

When adding or subracting, the radicals have to be the same.

`3sqrt5 +6sqrt5`

Since `3` & `6` have the same radical, we simply add them.

`(3+6)sqrt5`

`9sqrt5`

`sqrt5` cannot be written in any simpler form so our answer is

`9sqrt5`

Answer 2

`9sqrt5`

Explanation:

We can add/subtract radicals in the same way we add/subtract like algebraic terms.

`"That is "color(red)(3)x+color(red)(6)x=(color(red)(3+6))x=9x`

`rArrcolor(red)(3)sqrt5+color(red)(6)sqrt5=(color(red)(3+6))sqrt5=9sqrt5`