Radical Calculator

Form

Results

Radical (nth radical)

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Table of Contents

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What is Radical Calculator?

An nth root finds a number that gives the original value when raised to n.

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How to Use This Calculator

  1. Enter or select Number, Radical degree (n).
  2. Check the unit beside each measurement. For a percentage or rate, use the scale and time period stated in the form.
  3. Choose Calculate, then compare the output with the formula and example below. If you change a value or option, calculate again to update the result.
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Formula Used

y = ⁿ√x, meaning yⁿ = x
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Variables Explained

InputWhat it means
NumberThe number to test or transform; use the integer or real-number domain stated in the formula.
Radical degree (n)Use the measured or stated value for this item, with the unit or category shown beside the field.
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Worked Example

The fourth root of 81 is 3; the cube root of −27 is −3.

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Why Use This Calculator?

Check an nth-root operation before using it in a longer expression.

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Common Mistakes

    • Even roots of negative numbers are not real. The root degree must be a positive integer.
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Frequently Asked Questions

Should I round numbers before calculating?

Keep the original input precision through the calculation and round the final answer to the precision you need. Rounding an intermediate result can change later steps.

Why can a manual calculation differ slightly?

Check the operation, units, signs and rounding first. Equivalent fractions or expressions can look different while representing the same value.

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Sources & References

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