It asks for the number that, when raised to the power of 3, equals 8000.
What is the Cube Root of 8000?
The cube root of 8000 is 20. Calculate another value or review the exact form, nearby perfect powers, and verification.
Answer
Cube Root∛8000 = 20
ExactPerfect cubeRational
Exact form20
Perfect cubeYes
Number typeRational
Verification203 ≈ 8000
Share result
On this page
How the answer is calculated
We solve x3 = 8000. The resulting value is x = 20.
Verification: 203 ≈ 8000.
Nearest Perfect cubes
| Position | Base | Value |
|---|---|---|
| Lower or equal | 20 | 8000 |
| Upper or equal | 20 | 8000 |
Number properties
Is 8000 a perfect cube?
Yes. Its cube root is the whole number 20.
Is the cube root rational or irrational?
20 is rational because it is a whole number.
Visual guide
Cube Root function graph
See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.
Common questions
Frequently asked questions
The answer is exact because this input is a perfect cube.
Yes. Enter any supported number in the calculator above and select Calculate.