CalculateMeasure

Math & Geometry

Nth Root Calculator

Calculate the real nth root of a number for an integer root degree of two or greater.

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Calculator guide

How to use the Nth Root Calculator

Calculate the real nth root of a number for an integer root degree of two or greater. Enter the requested values and select Calculate. The result and supporting values are produced locally in your browser.

Formula

Result = ⁿ√x = x^(1/n)

Worked example

The fifth root of 32 is 2 because 2⁵ = 32.

What to keep in mind

  • Negative inputs have real roots only when the root degree is odd.
  • The calculator returns the real root, not complex roots.

Methodology

This calculator uses deterministic arithmetic and performs the calculation locally in your browser. Verify assumptions, units, and source values for your specific use case.

Review standard: Level A · Standard formula. How calculator reviews work.

Frequently asked questions

What does this calculator calculate?

Calculate the real nth root of a number for an integer root degree of two or greater.

How is the result calculated?

Result = ⁿ√x = x^(1/n).

Can I use the result for an important decision?

Use the result as a calculation aid and verify the inputs, assumptions, and applicable professional or regulatory requirements before relying on it for an important decision.

Does CalculateMeasure store the values I enter?

The calculator performs its arithmetic in your browser. The calculator itself does not need to send your entered values to a server to produce the result.