Is 729 a perfect cube?

To determine if 729 is a perfect cube, we need to check if there is an integer whose cube equals 729.

Step 1: Find the cube root of 729. The cube root of a number is the value that, when multiplied by itself three times, gives the original number. In other words, we need to find the number "x" such that:

x³ = 729

Step 2: Find the cube root of 729. We can either use a calculator or guess and check:

Since 9³ = 9 * 9 * 9 = 729, we can see that 729 is indeed a perfect cube, and the cube root of 729 is 9.

Conclusion: Yes, 729 is a perfect cube because 9³ = 729.