Question

How do you simplify `2sqrt3+5sqrt3`?

Answer 1

See a solution process below:

Explanation:

Factor the `sqrt(3)` out of each term to simplify:

`2sqrt(3) + 5sqrt(3) => (2 + 5)sqrt(3) = 7sqrt(3)`

Answer 2

`7sqrt(3)`

Explanation:

In order to combine radicals, the indexes and radicands must math. I think of the radicand as a variable. `5x+3y` can't be combined, and neither can `5sqrt3+3qrt2`

`2sqrt3 + 5sqrt3`

So, the indexes match and the radicands match, so we add the whole numbers:

`color(red)(2)sqrt3 + color(red)(5)sqrt3`

`7sqrt(3)`