Simplify the following:

​$$[\{(-0.4) + (4.6)^2 + (2.3)^2\}\div5] - 3.24$$​​

Correct option is D

Given:

​$$[\{(-0.4) + (4.6)^2 + (2.3)^2\}\div5] - 3.24$$

Concept Used:

$$\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} &[],{}, () \\ \hline \text{Orders, of} & ^x(power), √ (root) , of \\ \hline \text{Division}& ÷ \\\hline \text{Multiplication} & × \\ \hline \text{Addition} & + \\ \hline \text{Subtraction} & - \\\hline\end{array}$$

Solution:

$$[\{(-0.4) + (4.6)^2 + (2.3)^2\}\div5] - 3.24$$

= $$[\{-0.4 + 21.16 + 5.29\}\div5] - 3.24$$

= $$[\{26.25\}\div5] - 3.24$$

= $$5.21- 3.24$$ 

= 1.97

Option (D) is right answer.