Question

How to find square root of 5929 and 3364 by long division method ??

Answer 1

Square root of 5929 by long division method:
$$\begin{gathered} 77 \\ 7\left|\overline{\overline{59}\overline{29}}\right| \\ +7\left|49\right| \\ \overline{147\left|1029\right|} \\ \left|1029\right| \\ \overline{\overline{0}} \end{gathered}$$
Therefore, the square root of 5929 is 77.

Square root of 3364 by long division method:
$$\begin{gathered} 58 \\ 5\left|\overline{\overline{33}\overline{64}}\right| \\ +5\left|25\right| \\ \overline{108\left|864\right|} \\ \left|864\right| \\ \overline{\overline{0}} \end{gathered}$$
Therefore, the square root of 3364 is 58.