Question

Find the cube root by prime factorization of $125$

Answer 1

Find the cube root by prime factorization

Given, $125$

$$\begin{gathered} \begin{array}{cc}5& 125\\ 5& 25\\ 5& 5\\ & 1\end{array} \\ \Rightarrow 125=5^3 \\ \Rightarrow \sqrt[3]{125}=5 \end{gathered}$$

Therefore, the cube root of $125$ is $5$.