Question

How do you simplify `5sqrt30` - `sqrt3`?

Answer 1

See below.

Explanation:

This form is already pretty much simplified.

You could pull out a factor of `sqrt(3)`

`=>5sqrt(30) - sqrt(3)`

`=>5sqrt(10)sqrt(3) - sqrt(3)`

`=>sqrt(3)(5sqrt(10) - 1)`

But I don't see much advantage in this.