If $$\frac{a}{b}:\frac{c^{2}}{d^{2}}:\frac{e^{2}}{f^{2}}=16$$ then finding the value of $$\sqrt{\frac{a^{2}+c^{4}+e^{6}}{b^{2}+d^{4+f^{6}}}}+\sqrt{\frac{b^{2}+d^{4}+f^{6}}{a^{2}+c^{4+e^{6}}}}$$

A

$$\frac{257}{16}$$

B

$$\frac{257}{15}$$

C

$$\frac{265}{16}$$

D

$$\frac{256}{16}$$