Question

Question 1(iii)
Find the cube root of each of the following numbers by prime factorization method:
10648

Answer 1

10648
$\sqrt[3]{310648}=\sqrt[3]{32\times 2\times 2\times 11\times 11\times 11}=2\times 11=22$
$\begin{array}{cc}2& 10648\\ 2& 5324\\ 2& 2662\\ 11& 1331\\ 11& 121\\ 11& 11\\ & 1\end{array}$