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If $$\frac{a}{b}:\frac{c^{2}}{d^{2}}:\frac{e^{2}}{f^{2}}=16$$ then finding the value of $$\sqrt{\frac{a^{2}+c^{4}+e^{6}}{b^{2}+d^{4+f^{6}}}}+\sqrt{\frac{b^{2}+d^{4}+f^{6}}{a^{2}+c^{4+e^{6}}}}$$
$$\frac{257}{16}$$
$$\frac{257}{15}$$
$$\frac{265}{16}$$
$$\frac{256}{16}$$
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