Download your Word document
Principal Complex Root Calculator result sheet — free, supported by sponsors. Your download button appears in 20 seconds.
This free download is supported by sponsors — continuing in
20
Your file is generated in your browser when you choose Download — nothing is uploaded. If this calculator returns enough numeric data, the export also includes its best-fit chart alongside the readable table.
WorldCalculate result export
Principal Complex Root Calculator — result sheet
Calculate the principal nth root of a complex number from polar magnitude and argument.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Principal root magnitude=r^(1/n); principal angle=θ/n; rectangular parts use cosine and sine.
The page returns one principal root and does not imply that the other n−1 roots are absent.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Complex magnitude r — minimum 0; maximum 1000000000000
- Complex argument — minimum -1000000000000; maximum 1000000000000
- Root index n — minimum 1; maximum 1000
Worked example
| Input | Value |
|---|---|
| Complex magnitude r | 16 |
| Complex argument | 90 |
| Root index n | 2 |
Principal root ≈2.8284+2.8284i.
Assumptions and limits
- The argument is in degrees and the root index is a positive whole number.
- The principal branch uses the supplied argument divided by n.
- All alternative roots and branch-cut conventions are not listed.
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.
No saved result was found. Please run the calculation first, then choose Download again.