Question:
Evaluate:
$\sqrt[3]{8000}$
Solution:
$\sqrt[3]{8000}$
By prime factorisation:
$8000=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 5$
$=(2 \times 2 \times 2) \times(2 \times 2 \times 2) \times(5 \times 5 \times 5)$
$\therefore \sqrt[3]{8000}=(2 \times 2 \times 5)=20$