Simplify : 3 + 3364 ÷ 9 + 1/7 × 2 31/9 = ?

Answer: Option D

$$\begin{array}{rl}& \text{According to question,}\\ & \sqrt{3+\frac{33}{64}}÷\sqrt{9+\frac{1}{7}}\times 2\sqrt{3\frac{1}{9}}\\ & =\sqrt{\frac{225}{64}}÷\sqrt{\frac{64}{7}}\times 2\sqrt{\frac{28}{9}}\\ & =\sqrt{\frac{225}{64}\times \frac{7}{64}\times \frac{28}{9}}\times 2\\ & =\frac{5\times 7}{8\times 4}\times 2\\ & =\frac{35}{16}\\ & =2\frac{3}{16}\end{array}$$