What is the Cube Root of 108?

The cube root of 108 is 4.7622031559. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Cube Root∛108 = 4.7622031559
CalculatedNon-perfect cubeIrrational
Exact form∛108
Perfect cubeNo
Number typeIrrational
Verification4.76220315593 ≈ 108

On this page

How the answer is calculated

We solve x3 = 108. The resulting value is x = 4.7622031559.

Verification: 4.76220315593 ≈ 108.

Nearest Perfect cubes

PositionBaseValue
Lower or equal464
Upper or equal5125

Number properties

Is 108 a perfect cube?

No. Its cube root is not a whole number.

Is the cube root rational or irrational?

∛108 is irrational because 108 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 108.