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Root Calculator — result sheet
Calculate real nth roots, including odd roots of negative values.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Root = sign(radicand) x absolute(radicand)^(1/index) for real odd roots.
Even roots of negative real numbers are rejected instead of returning a misleading NaN or complex result.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Radicand — minimum -1000000000000000; maximum 1000000000000000
- Root index — minimum 1; maximum 99
Worked example
| Input | Value |
|---|---|
| Radicand | 27 |
| Root index | 3 |
The cube root of 27 is 3.
Assumptions and limits
- Only real results are reported.
- The index is a positive whole number.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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