Nth Root Calculator

Calculate square roots, cube roots, and other principal real nth roots.

Description

Calculate square roots, cube roots, and other principal real nth roots.

Calculate square roots, cube roots, and other principal real nth roots.

When to use Nth Root Calculator

Use this calculator to verify a hand calculation, normalize a value before another tool, or make the exact arithmetic convention explicit in a reproducible workflow.

Number
The number whose principal real root will be calculated.
Root degree
An integer of 2 or greater; use 2 for a square root or 3 for a cube root.

How the calculation works

The formula below determines the tool output. Root: The principal real nth root.1

root = value^(1 / degree) 1

Limitations and assumptions

Calculations use JavaScript number arithmetic. Binary floating-point representation can make some decimal results inexact, and values outside the supported numeric range can overflow or lose precision. Round only for presentation unless the selected rounding tool is itself the intended operation.

Alternative or Complementary approaches

Use the inverse operation to check a result when one exists: addition pairs with subtraction, multiplication with division, and powers with roots. For rounding or normalization tools, retain the unmodified value when later calculations still require full precision.

References

  1. Nth root — Wikipedia contributors

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