if a = 0.1039, then the value of
$$\begin{aligned} \sqrt{4a^2 - 4a + 1} + 3a \end{aligned}$$

Answer: Option D

Explanation:

Tip: Please check the question carefully before answering. As 3a is not under the root we can convert it into a formula , lets evaluate now :

$$\begin{aligned} = \sqrt{4a^2 - 4a + 1} + 3a \end{aligned}$$

$$\begin{aligned} = \sqrt{(1)^2 + (2a)^2 - 2x1x2a} + 3a \end{aligned}$$

$$\begin{aligned} = \sqrt{(1-2a)^2} + 3a \end{aligned}$$

$$\begin{aligned} = (1-2a) + 3a \end{aligned}$$

$$\begin{aligned} = (1-2a) + 3a \end{aligned}$$

$$\begin{aligned} = 1 + a = 1 + 0.1039 = 1.1039 \end{aligned}$$