# Cube Root Calculator

URL: https://speedycalculator.com/calculators/math/cube-root/
Last updated: 2026-10-30

> The cube root calculator finds ∛x for any real number – including negatives – and can also take roots of other degrees.

## Inputs

- Number
- Degree of the root

## Results

- Root
- Check: rootⁿ
- Square root (for comparison)

## Formula

```
∛x = x^(1/3),  y³ = x
n-th root: ⁿ√x = x^(1/n)
```

## Explanation

The cube root reverses cubing: ∛27 = 3 because 3³ = 27. It turns volumes into lengths – a 1,000 cm³ cube has sides of ∛1000 = 10 cm. Unlike square roots, cube roots of negative numbers are real: ∛−8 = −2.

### How to use the Cube Root Calculator

- **Number**
- **Degree of the root**
- Every result field is editable: type into **Root** and **Number** plus every other field update to match.

Results update as you type, and everything is calculated in your browser.

### How it works

The calculator uses the real cube root for negative numbers and odd degrees. For even degrees and negative numbers there is no real root.

### Inputs explained

FieldWhat to enterNumberA numberDegree of the rootA number

### Example values

How the main result changes when **Number** changes and everything else stays at the example values above:

NumberRoot171.55.5559257.256.35993437428.757.5405514.58.0136868.8194

## Worked example

Inputs — Number: 343; Degree of the root: 3.

Results — **Root = 7**; Check: rootⁿ = 343; Square root (for comparison) = 18.5202591775.

## Key terms

- **Cube root**: A number that, cubed, gives x.

## FAQ

**What is the cube root of 64?**
4, because 4 × 4 × 4 = 64.

**Can I take the cube root of a negative number?**
Yes: ∛−125 = −5.

**How do I estimate a cube root?**
Find the perfect cubes on either side: ∛50 is between ∛27 = 3 and ∛64 = 4.

**How do I simplify ∛54?**
54 = 27 × 2, so ∛54 = 3∛2 – see the simplify cube root calculator.


## Sources

- [OpenStax – Prealgebra 2e](https://openstax.org/details/books/prealgebra-2e)
- [Wolfram MathWorld – Cube root](https://mathworld.wolfram.com/CubeRoot.html)