(-3√2)(-6√22)/2√4

To simplify the expression (-3√2)(-6√22)/2√4, we can first simplify each term individually.

(-3√2) can be simplified as follows:
(-3√2) = -(3√2) = -3√(2)

(-6√22) can be simplified as follows:
(-6√22) = -(6√22) = -6√(22)

2√4 can be simplified as follows:
2√4 = 2 * 2 = 4

Now, substituting the simplified terms back into the expression:
(-3√2)(-6√22)/2√4 = (-3√(2)) * (-6√(22))/4

Next, we can combine the terms under the square roots by multiplying and simplify the numerical factors:
(-3√(2)) * (-6√(22))/4 = (6√(2 * 22))/4 = (6√(44))/4 = (6 * 2√11)/4

Finally, we can simplify the expression further:
(6 * 2√11)/4 = 12√11/4 = 3√11

Therefore, the simplified expression is 3√11.