Nth Root Calculator
Calculate nth roots with real-number domain checks and view the equivalent power relationship.
Real-number rule: if x < 0, then n must be an odd integer.
Result will appear here.
| Metric | Value |
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Privacy: calculations run locally in your browser. No values are stored or transmitted.
How it works
The nth root solves:
y^n = x
For positive x, this is computed as:
x^(1/n)
Examples
- 4th root of 16 = 2
- 5th root of 32 = 2
- 3rd root of -27 = -3
FAQ
- What is an nth root?
The nth root of x is a value y such that y^n = x.
- Can I use a negative x?
Yes, but only when n is an odd integer if you want a real-number result.
- Why can’t n be 0?
A zeroth root is undefined, because it would require solving y^0 = x.
- Are calculations stored?
No. Everything runs locally in your browser.