Let's evaluate the expression step by step.
First, we need to know the values of the trigonometric functions for the given angles:
* tan 45° = 1
* tan 60° = √3
Now, substitute these values into the expression:
$$3 \cdot \tan 45^\circ \cdot \tan 60^\circ = 3 \cdot 1 \cdot \sqrt{3}$$
Perform the multiplications:
$$= 3 \sqrt{3}$$
So, the result of the expression is 3√3.
Answer: $$3\sqrt{3}$$