Is 9197 a Perfect Cube?

To determine whether 9197 is a perfect cube, we need to find a whole number that, when multiplied by itself three times, equals 9197.

Let’s start by taking the cube root of 9197. When we calculate this, we find:

∛9197 ≈ 20.9

This indicates that 9197 is not a whole number when taking the cube root, which suggests that it is not a perfect cube.

To further examine this, we can check the cubes of the integers near our cube root calculation:

• 20³ = 8000
• 21³ = 9261

Since 8000 (20³) is less than 9197 and 9261 (21³) is greater than 9197, we can confirm that there’s no integer whose cube equals 9197.

In conclusion, 9197 is not a perfect cube.