(sqrt(3)+6). This will eliminate the square root in the denominator.
The numerator will be 4 * (sqrt(3)+6), which can be simplified as 4sqrt(3) + 24.
The denominator will be (sqrt(3)-6) * (sqrt(3)+6), which can be simplified using the difference of squares formula:
(sqrt(3))^2 - (6)^2 = 3 - 36 = -33.
Therefore, the rationalized form of (4)/(sqrt(3)-6) is (4sqrt(3) + 24)/(-33).