Question

Find the square root of 0.053361.

• A. 0.231
• B. 23.1
• C. 2.31
• D. 0.0231

Answer 1

The correct option is A

0.231

Step I: In the decimal part, mark the periods on every pair of digits beginning with the first decimal place.

Step II: Now, find the square root by long division method.

Step III: As the integral part is zero in the given question, put the decimal point from the beginninig of the long divsion itself.

$\begin{array}{cc}& 0.231\\ 2& 0.\overline{05}\overline{33}\overline{61}\\ & 4\\ 43& 133\\ & 129\\ 461& 461\\ & 461\\ & 0\end{array}$

$\text{Hence,}\sqrt{0.053361}=0.231$