Question

Find the square root of 4356 by prime factorization.

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{prime}\mathrm{factorisation}\mathrm{of}4356\mathrm{is}, \\ 4356=2\times 2\times 3\times 3\times 11\times 11 \\ \Rightarrow \sqrt{4356}=\sqrt{\underline{2\times 2}\times \underline{3\times 3}\times \underline{11\times 11}} \\ \Rightarrow \sqrt{4356}=2\times 3\times 11=66 \end{gathered}$$