In an ABCD.EFGH cube whose side length is 8, the distance between the point G and the line BH is ....

A. 4 cm

B. $\displaystyle 4\sqrt2$ cm

C. $\displaystyle 4\sqrt3$ cm

D. $\displaystyle 8\sqrt2$ cm

E. $\displaystyle 8\sqrt3$ cm

I got $\displaystyle \frac{8}{3}\sqrt6$ cm. Do you guys get the same answer?