Question

Which of the following is a perfect cube?

• A. 532
• B. 729
• C. 827
• D. 943

Answer 1

The correct option is B

729

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.