What is the Cube Root of 343?

The cube root of 343 is 7. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Cube Root∛343 = 7
ExactPerfect cubeRational
Exact form7
Perfect cubeYes
Number typeRational
Verification73 ≈ 343

On this page

How the answer is calculated

We solve x3 = 343. The resulting value is x = 7.

Verification: 73 ≈ 343.

Nearest Perfect cubes

PositionBaseValue
Lower or equal7343
Upper or equal7343

Number properties

Is 343 a perfect cube?

Yes. Its cube root is the whole number 7.

Is the cube root rational or irrational?

7 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 343.