Let a, b and c be three consecutive even integers arranged from smallest to largest such that the geometric mean of b and c is $\sqrt { 2 }$ times the geometric mean of a and b.
Accordingly, what is the sum $\mathrm { a } + \mathrm { b } + \mathrm { c }$?\\
A) 12\\
B) 18\\
C) 24\\
D) 30\\
E) 36