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Question

The cube root of $27^{2}$ is:
$9$
$27$
$3$
None of these

A

None of these

B

27

C

9

D

3

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Solution

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$27 = 3 \times 3 \times 3 = 3^{3}$
$27^{2} = (3^{3})^{2} = (3^{2})^{3} = 9^{3}$
$∴$ cube root of $27^{2} = 9$

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