Prime factorization

Use prime factorization to find the cube root of 3375

$3375=3^3\times 125=3^3\times5^3=(3\times5)^3=15^3$

$\sqrt[3]{3375}=15$

!

3*3*3*5*5*5

Use prime factorization to find the cube root of 3375

$\begin{array}{|rcll|} \hline && \sqrt[3]{3375} \\ &=& \sqrt[3]{3^3\cdot 5^3} \\ &=& \sqrt[3]{3^3} \cdot \sqrt[3]{ 5^3} \\ &=& 3 \cdot 5 \\ &=& 15 \\ \hline \end{array}$