what is 3 2/3 • 3 3/6 as a square root

To convert the given mixed numbers to improper fractions, we have:

3 2/3 = (3 * 3 + 2)/3 = 11/3
3 3/6 = (3 * 6 + 3)/6 = 21/6 = 7/2

Now, let's multiply the fractions:
(11/3) * (7/2) = 77/6

To represent this fraction as a square root, we can simplify it further:

77/6 = (11 * 7)/(3 * 2) = 77/6 = (11/3)*(7/2) = (sqrt(11))^2 * (sqrt(7))^2 / sqrt(2)^2 = 121 * 7 / 4 = 847/4

Therefore, 3 2/3 • 3 3/6 as a square root is equal to 847/4.