Question

Question 1(ii)
Find the cube root of each of the following numbers by prime factorization method:
512

Answer 1

512
$\sqrt[3]{3512}=\sqrt[3]{32\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2}=2\times 2\times 2=8$
$\begin{array}{cc}2& 512\\ 2& 256\\ 2& 128\\ 2& 64\\ 2& 32\\ 2& 16\\ 2& 8\\ 2& 4\\ 2& 2\end{array}$