What you provide
What you provide
- Radicand: Number placed under the radical sign.
- Root index n: Positive integer identifying the root degree.
ALGEBRA / RADICALS
Nth Root Calculator
Calculate a positive-index nth root, including real odd roots of negative numbers and a power verification.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
The reciprocal index is used as a power, with explicit sign preservation for negative radicands and odd indices.
Calculation path
Nth root = radicand^(1 / index), with explicit sign handling for negative odd roots.
What you receive
What you receive
- Nth-root result
- Root index and absolute radicand
- Verification power
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
Even roots of negative values are complex and intentionally rejected; floating-point verification may show tiny rounding differences.
Results are educational math aids. Check notation, units, rounding, assumptions, and required precision before using an answer in graded, engineering, financial, or safety-critical work.