Which of the following options is the closest approximate value which will come in place of question mark(?) in the following equation?
(√360+12÷6×3-√170)÷2=?

Correct option is B

Given:

(√360+12÷6×3-√170)÷2=?

Concept used:

Bodmas rule:

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

Solution:

(√360+12÷6×3-√170)÷2=?

​$$\left(\sqrt{360\ }+\frac{12}{6}\times3-\sqrt{170}\right)\div2$$

= (18.97 + 6 -13.04) $$\div2$$

= (24.97 - 13.04) $$\div2$$

= 11.93 $$\div2$$

= 5.97

The closest approximate value is 6.​