Fifth Roots Calculator

Quickly find the fifth root of any positive or negative number.

5th Root (∜x)2

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Understanding Fifth Roots

The fifth root of a number x is a number r which, when raised to the power of 5, yields x. Because 5 is an odd number, every real number (both positive and negative) has exactly one real fifth root.

Odd Roots and Negatives

Unlike square roots or fourth roots which are undefined for negative numbers in the real number system, odd roots safely preserve the sign. For example, the fifth root of -32 is exactly -2, because (-2) * (-2) * (-2) * (-2) * (-2) = -32.

Disclaimer: This calculator is for educational and learning purposes only. While we strive for accuracy, calculations are provided "as-is" without warranty. The accuracy of results depends on the accuracy of input data provided. Always verify important calculations independently. For critical applications or when accuracy is essential, consult with appropriate professionals or use verified reference sources. Educational calculators may contain rounding or approximations.