Question

Find cube root of 17576 by prime factorization

Answer 1

Dear Student,
$$\begin{gathered} \sqrt[3]{17576}=\sqrt[3]{2*8788}=\sqrt[3]{2*2*4394}=\sqrt[3]{2*2*2*2197}=\sqrt[3]{2*2*2*13*169} \\ i.e\sqrt[3]{2*2*2*13*13*13},i.e2*13=26 \end{gathered}$$
Regards.