Question

If a = 0.1039, then the value of $\sqrt{4a^2-4a+1}+3a$ is :

• A. 0.1039
• B. 0.2078
• C. 1.1039
• D. 2.1039

Answer 1

The correct option is C 1.1039

$\sqrt{4a^2+4a+1}+3a=\sqrt{(2a-1{)}^2}+3a$

(as $2a<1$ take $(1-2a)$)

$\Rightarrow (1-2a)+3a=a+1=1.1039$