Question

Find the square root of 53361 by prime factorization method?

Answer 1

$$\begin{gathered} Hi, \\ 3|\overline{53361} \\ 3|\overline{17787} \\ \overline{7|5929} \\ 7|\overline{847} \\ 11|\overline{121} \\ 11\overline{|11} \\ \overline{1} \\ so\sqrt{\overline{53361}}=\sqrt{3\times 3\times 7\times 7\times 11\times 11}=3\times 7\times 11 \\ =231 \end{gathered}$$