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Calculate Cube Roots

Instantly find the cube root of any number. Identify perfect cubes and calculate to high precision.

Cube Root
∛x Calculation
Perfect Cube
Verification

What is a Cube Root?

The cube root of a number x is a number y such that y × y × y = x. It is denoted by the symbol:

∛x

For example, the cube root of 27 is 3, because 3 × 3 × 3 = 27. Unlike square roots, cube roots can be found for negative numbers. The cube root of -8 is -2.

List of Perfect Cubes

A "perfect cube" is a number that has a whole number as its cube root.

1³ = 1
2³ = 8
3³ = 27
4³ = 64
5³ = 125
6³ = 216
7³ = 343
8³ = 512
9³ = 729
10³ = 1000

Frequently Asked Questions

Can negative numbers have cube roots?

Yes! Because multiplying a negative number three times results in a negative number (e.g., -2 × -2 × -2 = -8), the cube root of a negative number is simply negative.

How do I find a cube root without a calculator?

It's difficult for large non-perfect cubes. The best method is Trial and Error or Estimation. For example, if you know 4³=64 and 5³=125, the cube root of 100 must be between 4 and 5.