Question

Question 1(x)
Find the cube root of each of the following numbers by prime factorization method:
91125

Answer 1

$91125\sqrt[3]{391125}=\sqrt[3]{33\times 3\times 3\times 3\times 3\times 3\times 5\times 5\times 5}=3\times 3\times 5=45$
$\begin{array}{cc}3& 91125\\ 3& 30375\\ 3& 10125\\ 3& 3375\\ 3& 1125\\ 3& 375\\ 5& 125\\ 5& 25\\ 5& 5\\ & 1\end{array}$