What is the Cube Root of 3?

The cube root of 3 is 1.4422495703. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Cube Root∛3 = 1.4422495703
CalculatedNon-perfect cubeIrrational
Exact form∛3
Perfect cubeNo
Number typeIrrational
Verification1.44224957033 ≈ 3

On this page

How the answer is calculated

We solve x3 = 3. The resulting value is x = 1.4422495703.

Verification: 1.44224957033 ≈ 3.

Nearest Perfect cubes

PositionBaseValue
Lower or equal11
Upper or equal28

Number properties

Is 3 a perfect cube?

No. Its cube root is not a whole number.

Is the cube root rational or irrational?

∛3 is irrational because 3 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 3.