If 5√3 + 75 = 17.32, then the value of 14√3 + 108 is.

Answer: Option C

$$\begin{array}{rl}& 5\sqrt{3}+\sqrt{75}=17.32\\ & 5\sqrt{3}+5\sqrt{3}=17.32\\ & 10\sqrt{3}=17.32.....\left(1\right)\\ & \therefore 14\sqrt{3}+\sqrt{108}\\ & =14\sqrt{3}+\sqrt{12\times 9}\\ & =14\sqrt{3}+6\sqrt{3}\\ & =20\sqrt{3}\\ & =2\times 10\sqrt{3}\\ & =2\times 17.32\\ & =34.64\end{array}$$