Which of the following is a perfect cube?

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Question

Which of the following is a perfect cube?

Options:

A . 532

B . 729

C . 827

D . 943

Answer: Option B
:
B

By prime factorization, we get 729 = $3 \times 3 \times 3 \times 3 \times 3 \times 3 = 3^{6}$
So cube root of $729 = (729)^{\frac{1}{3}} = 3^{\frac{6}{3}} = 3^{2} = 9$
Since, the cube root of 729 is a natural number, 729 is a perfect cube.

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