Which of the following is a perfect cube? Options: A . &nbsp532 B . &nbsp729 C . &nbsp827 D . &nbsp943

Answer: Option B : B By prime factorization,we get 729 = 3 × 3 × 3 × 3 × 3 × 3 = 3 6 So cube root of 729 = ( 729 ) 1 3 = 3 6 3 = 3 2 = 9 Since, the cube root of 729 is a natural number, 729 is a perfect cube.

Which of the following is a perfect cube?

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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