What is the Cube Root of 13?

The cube root of 13 is 2.3513346877. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Cube Root∛13 = 2.3513346877
CalculatedNon-perfect cubeIrrational
Exact form∛13
Perfect cubeNo
Number typeIrrational
Verification2.35133468773 ≈ 13

On this page

How the answer is calculated

We solve x3 = 13. The resulting value is x = 2.3513346877.

Verification: 2.35133468773 ≈ 13.

Nearest Perfect cubes

PositionBaseValue
Lower or equal28
Upper or equal327

Number properties

Is 13 a perfect cube?

No. Its cube root is not a whole number.

Is the cube root rational or irrational?

∛13 is irrational because 13 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

It asks for the number that, when raised to the power of 3, equals 13.