What is the Cube Root of 1?

The cube root of 1 is 1. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Cube Root∛1 = 1
ExactPerfect cubeRational
Exact form1
Perfect cubeYes
Number typeRational
Verification13 ≈ 1

On this page

How the answer is calculated

We solve x3 = 1. The resulting value is x = 1.

Verification: 13 ≈ 1.

Nearest Perfect cubes

PositionBaseValue
Lower or equal11
Upper or equal11

Number properties

Is 1 a perfect cube?

Yes. Its cube root is the whole number 1.

Is the cube root rational or irrational?

1 is rational because it is a whole number.

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 1.