Question

Simplify the radical expression sqrt3 + 4sqrt3?

Answer 1

`color(blue)(5sqrt(3))`

Explanation:

Notice you have `1xxsqrt(3)+4xxsqrt(3)`

So this is just `5xxsqrt(3)=5sqrt(3)`

It is important to remember that you can only add radicals together if they are the same radical or multiples of the same radical. You can see this in the same way as when dealing with variables.

`x+4x=5x`

`x+4ycolor(white)(8888888)` can't be added, because they are unlike terms. So:

`sqrt(3)+4sqrt(2)color(white)(8888)` can't be added, because they are unlike radicals.