Given that 13 = 3.605 and 130 = 11.40 , find the value of 1.30 + 1300 + 0.0130 = ?

Answer: Option D

$$\begin{array}{rl}& \text{Given expression,}\\ & \sqrt{1.30}+\sqrt{1300}+\sqrt{0.0130}\\ & =\sqrt{\frac{130}{100}}+\sqrt{13\times 100}+\sqrt{\frac{130}{10000}}\\ & =\frac{\sqrt{130}}{10}+\sqrt{13}\times 10+\frac{\sqrt{130}}{100}\\ & =\frac{11.40}{10}+3.605\times 10+\frac{11.40}{100}\\ & =1.14+36.05+0.114\\ & =37.304\end{array}$$