Question

Question 1(v)
Find the cube root of each of the following numbers by prime factorization method:
15625

Answer 1

$15625\sqrt[3]{315625}=\sqrt[3]{35\times 5\times 5\times 5\times 5\times 5}=5\times 5=25$
$\begin{array}{cc}5& 15625\\ 5& 3125\\ 5& 625\\ 5& 125\\ 5& 25\\ 5& 5\\ & 1\end{array}$