What is the Cube Root of 497?

The cube root of 497 is 7.921099395. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Cube Root∛497 = 7.921099395
CalculatedNon-perfect cubeIrrational
Exact form∛497
Perfect cubeNo
Number typeIrrational
Verification7.9210993953 ≈ 497

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How the answer is calculated

We solve x3 = 497. The resulting value is x = 7.921099395.

Verification: 7.9210993953 ≈ 497.

Nearest Perfect cubes

PositionBaseValue
Lower or equal7343
Upper or equal8512

Number properties

Is 497 a perfect cube?

No. Its cube root is not a whole number.

Is the cube root rational or irrational?

∛497 is irrational because 497 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 497.