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Nth Root Calculator

ⁿ√x — any root, any index.

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Frequently asked questions

Even root of negative?
No real solution. √−4, ⁴√−16 are complex. Requires imaginary numbers. Only odd roots of negatives are real.
Fractional index?
Yes — ⁰·⁵√x = x² (inverse). n = 1/2 gives the square. Fractional n is well-defined.
Equivalent expression?
ⁿ√x = x^(1/n). Same thing, different notation.
Multiple roots?
For even n, ±. For complex case, n roots total in complex plane. This calc gives principal real root.