Simplify the following:

​$$\sqrt{\frac{0.009\times0.025\times0.016\times0.08}{0.002\times0.0008\times0.0002}}$$​​

Correct option is D

Given:

​$$\sqrt{\frac{0.009\times0.025\times0.016\times0.08}{0.002\times0.0008\times0.0002}}$$​​

Formula Used:

​$$\begin {array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\ \hline Brackets &[],{}, () \\ \hline Orders, of & ² (power), √ (root) , of \\ \hline Division & ÷ \\ \hline Multiplication & × \\ \hline Addition & + \\ \hline Subtraction & - \\ \hline \end{array}$$​

Solution:

=$$\sqrt{\frac{0.009\times0.025\times0.016\times0.08}{0.002\times0.0008\times0.0002}}$$​​

Removing decimals

=$$\sqrt{\frac{9\times25\times16\times8}{2\times8\times2}}$$​​

=$$\sqrt{\frac{9\times25\times16\times8}{2\times8\times2}}$$​ 

=$$\sqrt{9\times25\times4}$$​​

=$$\sqrt{900}$$​​

= 30