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Mihsaba›Nth Root Calculator

Nth Root Calculator

Calculate real nth roots, including odd roots of negative numbers, with a power-back verification.

How to use

The nth root reverses raising a number to the power n. Over the real numbers, a negative radicand has a real nth root only when n is an odd integer.

  1. Enter x.
  2. Enter integer n from 2 to 1000.
  3. Review the root and approximate power-back check.

How it is calculated

ⁿ√x=x^(1/n) on the real domain

Example

∛27 = 3 because 3³ = 27, and ∛(−8) = −2 because (−2)³ = −8.

Important notes

The power-back check can differ slightly from x because browser floating-point arithmetic is finite-precision.

Frequently asked questions

Does an even root of a negative number have a real value?

No, not in the real-number domain.

Are negative cube roots supported?

Yes, because 3 is odd.

Can n be decimal?

No. This tool uses an integer root index.

Is this calculator free?

Yes. It is free to use and requires no account.