Evaluate:

Question:

Evaluate:

$\sqrt[3]{8000}$

Solution:

$\sqrt[3]{8000}$

By prime factorisation:

$8000=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 5$

$=(2 \times 2 \times 2) \times(2 \times 2 \times 2) \times(5 \times 5 \times 5)$

$\therefore \sqrt[3]{8000}=(2 \times 2 \times 5)=20$

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