It asks for the number that, when raised to the power of 3, equals 313.
What is the Cube Root of 313?
The cube root of 313 is 6.7896613364. Calculate another value or review the exact form, nearby perfect powers, and verification.
Answer
Cube Root∛313 = 6.7896613364
CalculatedNon-perfect cubeIrrational
Exact form∛313
Perfect cubeNo
Number typeIrrational
Verification6.78966133643 ≈ 313
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How the answer is calculated
We solve x3 = 313. The resulting value is x = 6.7896613364.
Verification: 6.78966133643 ≈ 313.
Nearest Perfect cubes
| Position | Base | Value |
|---|---|---|
| Lower or equal | 6 | 216 |
| Upper or equal | 7 | 343 |
Number properties
Is 313 a perfect cube?
No. Its cube root is not a whole number.
Is the cube root rational or irrational?
∛313 is irrational because 313 is not a perfect cube.
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 decimal answer is rounded for display; the radical form remains exact.
Yes. Enter any supported number in the calculator above and select Calculate.