If $$6\sqrt{6}p^{3} + 2\sqrt{2}q^{3} = \left(\sqrt{6}p+\sqrt{2}q)(Sp^{2}+ Mq 2 -Mq^{2}-Npq\right)$$, then the positive value of $$\sqrt{S^{2} + M^{2} + 2N^{2}}$$ is:

A

10

B

8

C

9

D

12