Question
Evaluate: $\sqrt[3]{8000}$
✓
Answer
$\sqrt[3]{8000}$ By prime factorisation, we have$8000=\underline{2\times2\times2}\times\underline{2\times2\times2}\times\underline{5\times5\times5}$
$= (2\times2\times5)^3$ $=(20)^3$ $\therefore\sqrt[3]{8000}=20$
$= (2\times2\times5)^3$ $=(20)^3$ $\therefore\sqrt[3]{8000}=20$
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