Simplify the following:
(sqrt(12) - sqrt(27))/(6 sqrt(3) sqrt(4))
sqrt(4) = sqrt(2^2) = 2:
(sqrt(12) - sqrt(27))/(6 sqrt(3)×2)
sqrt(27) = sqrt(3^3) = 3 sqrt(3):
(sqrt(12) - 3 sqrt(3))/(6 sqrt(3)×2)
sqrt(12) = sqrt(2^2×3) = 2 sqrt(3):
(2 sqrt(3) - 3 sqrt(3))/(6 sqrt(3)×2)
2 sqrt(3) - 3 sqrt(3) = -sqrt(3):
(-sqrt(3))/(6 sqrt(3)×2)
(sqrt(3))/(sqrt(3))×(-1)/(6×2) = (-1)/(6×2):
(-1)/(6×2)
- 1 / 12
