To simplify the expression, we can start by rationalizing the denominators.

First, let’s rationalize the denominator of the first fraction, which is 3(sqrt(2) + sqrt(2)):

3(sqrt(2) + sqrt(2)) = 3(2sqrt(2)) = 6sqrt(2)

Now, let’s rationalize the denominator of the second fraction, which is sqrt(2) + sqrt(6):

(sqrt(2) + sqrt(6)) * (sqrt(2) - sqrt(6)) = 2 - sqrt(12) = 2 - 2sqrt(3)

Now, the expression becomes:

2(sqrt(2) + sqrt(6)) / 6sqrt(2 - 2sqrt(3))

To simplify further, we can divide both the numerator and denominator by 2:

(sqrt(2) + sqrt(6)) / 3sqrt(2 - 2sqrt(3))