Question

square root by using the method of prime factorization of 289

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{Square}\mathrm{root}\mathrm{of}289\mathrm{by}\mathrm{prime}\mathrm{factorization}\mathrm{method}: \\ \sqrt{289}=\sqrt{17\times 17} \\ =17 \\ \Rightarrow \sqrt{289}=17 \\ \mathrm{thus}\mathrm{the}\mathrm{square}\mathrm{root}\mathrm{of}289\mathrm{is}17. \end{gathered}$$

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