What is the Cube Root of 117?

The cube root of 117 is 4.8909732465. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Cube Root∛117 = 4.8909732465
CalculatedNon-perfect cubeIrrational
Exact form∛117
Perfect cubeNo
Number typeIrrational
Verification4.89097324653 ≈ 117

On this page

How the answer is calculated

We solve x3 = 117. The resulting value is x = 4.8909732465.

Verification: 4.89097324653 ≈ 117.

Nearest Perfect cubes

PositionBaseValue
Lower or equal464
Upper or equal5125

Number properties

Is 117 a perfect cube?

No. Its cube root is not a whole number.

Is the cube root rational or irrational?

∛117 is irrational because 117 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 117.