Nth root · real numbers
Nth root · real numbers: use radicand, root degree. Review the formula, worked example and calculation steps.
Inputs
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Formula & explanation
Real nth root of x = sign(x) × |x|^(1/n), for odd n when x<0
Variables & units
- Radicand
- Numeric value · minimum -1000000000000, maximum 1000000000000
- Root degree
- Numeric value · minimum 1, maximum 100
Worked example
The real cube root of −27 is −3.
Assumptions
Positive integer root degree. Complex roots are outside this tool’s scope.
Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.
Practice with an example
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