What is the Cube Root of 729?

The cube root of 729 is 9. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Cube Root∛729 = 9
ExactPerfect cubeRational
Exact form9
Perfect cubeYes
Number typeRational
Verification93 ≈ 729

On this page

How the answer is calculated

We solve x3 = 729. The resulting value is x = 9.

Verification: 93 ≈ 729.

Nearest Perfect cubes

PositionBaseValue
Lower or equal9729
Upper or equal9729

Number properties

Is 729 a perfect cube?

Yes. Its cube root is the whole number 9.

Is the cube root rational or irrational?

9 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 729.