What is the Cube Root of 322?

The cube root of 322 is 6.8541240018. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Cube Root∛322 = 6.8541240018
CalculatedNon-perfect cubeIrrational
Exact form∛322
Perfect cubeNo
Number typeIrrational
Verification6.85412400183 ≈ 322

On this page

How the answer is calculated

We solve x3 = 322. The resulting value is x = 6.8541240018.

Verification: 6.85412400183 ≈ 322.

Nearest Perfect cubes

PositionBaseValue
Lower or equal6216
Upper or equal7343

Number properties

Is 322 a perfect cube?

No. Its cube root is not a whole number.

Is the cube root rational or irrational?

∛322 is irrational because 322 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 322.