What is the Cube Root of 32?

The cube root of 32 is 3.1748021039. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Cube Root∛32 = 3.1748021039
CalculatedNon-perfect cubeIrrational
Exact form∛32
Perfect cubeNo
Number typeIrrational
Verification3.17480210393 ≈ 32

On this page

How the answer is calculated

We solve x3 = 32. The resulting value is x = 3.1748021039.

Verification: 3.17480210393 ≈ 32.

Nearest Perfect cubes

PositionBaseValue
Lower or equal327
Upper or equal464

Number properties

Is 32 a perfect cube?

No. Its cube root is not a whole number.

Is the cube root rational or irrational?

∛32 is irrational because 32 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 32.