Compute $(\sqrt 3)^2\cdot (\sqrt 4)^3\cdot (\sqrt 5)^4$.
We can write
(sqrt (3) )^2 = 3
(sqrt (4)^3 = (2)^3 = 8
(sqrt (5)^4 = (sqrt (5))^2 * ( sqrt (5))^2 = 5 * 5 =25
So we have
3 * 8 * 25 = 600