Nth Root Calculator
Calculate the nth root of any number, for any root degree you choose — a generalization of square root and cube root.
- Free to use
- Accurate results
- No registration required
- Works on all devices
Enter a number and a root degree to calculate its nth root — for example, the 5th root of 32 is 2.
For example, 2 for square root, 3 for cube root, 4 for fourth root.
Your result
2
Nth root
AI explanation
Formula
Nth root = value^(1/n)Worked example
5th root of 32
| Field | Value |
|---|---|
| Number | 32 |
| Root degree (n) | 5 |
| Nth root | 2 |
Assumptions
- An even-degree root (2, 4, 6, ...) of a negative number is not a real number and is rejected.
- An odd-degree root (3, 5, 7, ...) of a negative number is a real, negative number.
Frequently asked questions
How is an nth root calculated?
The nth root of a number x is the value that, when raised to the power of n, equals x — mathematically, x^(1/n).
What happens if I enter a negative number with an even root degree?
That has no real-number result (for example, there's no real number that squares to a negative number), so this calculator rejects that combination. Use an odd root degree (3, 5, 7, ...) for a real result from a negative number.
Is this the same as Square Root or Cube Root Calculator?
Yes — this is the general version. Square Root fixes n=2 and Cube Root fixes n=3; this calculator lets you choose any root degree.