# Root Calculator (nth Root)

URL: https://speedycalculator.com/calculators/math/nth-root/
Last updated: 2026-10-25

> The root calculator finds the nth root of a number, such as a cube root or fourth root. It handles negative numbers for odd roots and shows the equivalent fractional exponent.

## Inputs

- Number
- Root (n)

## Results

- nth root
- Check: result^n

## Formula

```
ⁿ√x = x^(1/n)
```

## Explanation

Roots undo powers: the cube root of 27 is 3 because 3³ = 27.

### How to use the Root Calculator

- **Number**
- **Root (n)**
- Want to work backwards? Type a value into **nth root** and **Number** is calculated for you.

Results update as you type, and every field accepts the units shown in its menu.

### How it works

Raise x to the power 1/n. For odd n and negative x the result is negative.

### Inputs explained

FieldWhat to enterNumberA numberRoot (n)A number

### Example values

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

Numbernth root40.52.522760.752.7918813101.253.1721121.53.321623.5676

## Worked example

Inputs — Number: 81; Root (n): 4.

Results — **nth root = 3**; Check: result^n = 81.

## FAQ

**Why is there no result for even roots of negatives?**
No real number raised to an even power is negative.

**Can n be a decimal?**
Yes; x^(1/n) works for any positive n.

**What formula does the Root Calculator use?**
ⁿ√x = x^(1/n).

**Can I work backwards from the result?**
Yes. Type the result you want into nth root and the calculator finds the matching number.