If $$13\times 7\times 686 \div \sqrt{2401} = y +785$$, then find the value of y.​

Correct option is A

Given:

$$13\times 7\times 686 \div \sqrt{2401} = y +785$$

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:

$$13\times 7\times 686 \div 49 = y +785$$

​$$13\times 7\times 14 = y +785$$

1274 = y + 785

y = 1274 - 785 = 489

Option (a) is right.