Question

How do you simplify `(4sqrt(3))/sqrt12`?

Answer 1

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

Explanation:

`sqrt(12) = sqrt(2^2*3) = sqrt(2^2)*sqrt(3) = 2*sqrt(3)`

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

So:

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