What is the Cube Root of 1728?

The cube root of 1728 is 12. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Cube Root∛1728 = 12
ExactPerfect cubeRational
Exact form12
Perfect cubeYes
Number typeRational
Verification123 ≈ 1728

On this page

How the answer is calculated

We solve x3 = 1728. The resulting value is x = 12.

Verification: 123 ≈ 1728.

Nearest Perfect cubes

PositionBaseValue
Lower or equal121728
Upper or equal121728

Number properties

Is 1728 a perfect cube?

Yes. Its cube root is the whole number 12.

Is the cube root rational or irrational?

12 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 1728.