Question

Question 1(iv)
Find the cube root of each of the following numbers by prime factorization method:
27000

Answer 1

$27000\sqrt[3]{327000}=\sqrt[3]{32\times 2\times 2\times 3\times 3\times 3\times 5\times 5\times 5}=2\times 3\times 5=30$
$\begin{array}{cc}2& 27000\\ 2& 13500\\ 2& 6750\\ 3& 3375\\ 3& 1125\\ 3& 375\\ 5& 125\\ 5& 25\\ 5& 5\\ & 1\end{array}$