7sqrt(3) is broken down.
sqrt(12) is not broken down. Let's find all the factors of 12 and see if we stumble on a perfect square:
So sqrt(12) = sqrt(3 * 4)
We pull the sqrt(4) = 2 outside the radical and rewrite our problem as:
7sqrt(3) - 2sqrt(3)
These are like terms, so we have:
(7 - 2)sqrt(3)
5sqrt(3)
sqrt(12) is not broken down. Let's find all the factors of 12 and see if we stumble on a perfect square:
- 1 * 12
- 2 * 6
- 3 * 4
So sqrt(12) = sqrt(3 * 4)
We pull the sqrt(4) = 2 outside the radical and rewrite our problem as:
7sqrt(3) - 2sqrt(3)
These are like terms, so we have:
(7 - 2)sqrt(3)
5sqrt(3)