Question

How do you evaluate 4 radical 3 - radical 12?

Answer 1

`4sqrt(3)-sqrt(12) = 2sqrt(3)`

Explanation:

If `a, b >= 0` then `sqrt(ab) = sqrt(a)sqrt(b)`

So:

`4sqrt(3)-sqrt(12)`

`= 4sqrt(3)-sqrt(4*3)`

`= 4sqrt(3)-sqrt(4)sqrt(3)`

`= 4sqrt(3)-2sqrt(3) = 2sqrt(3)`