Question

What is the Square root of 361 using prime factorisation method

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{prime}\mathrm{factorisation}\mathrm{of}361\mathrm{is}: \\ 361=19\times 19 \\ \mathrm{Now},\sqrt{361}=\sqrt{19\times 19}=19 \end{gathered}$$