CalmCalc
MATH

Root Calculator

Estimate root from value, root degree with the Root Calculator.

Choose a rootCube and odd general roots accept negative radicands.
3 options
ROOT9

Square Root: Square, cube, or general nth root, including real roots of negative values for odd integer degrees.

Estimate based on the values shown
MethodSquare, cube, or general nth root, including real roots of negative values for odd integer degrees.

Before you use the result

The result depends on the entered values, selected mode, and displayed mathematical assumptions.

CALCULATOR GUIDE

How to use the Root Calculator

Estimate root from value, root degree with the Root Calculator. It includes Square Root, Cube Root, General Root workflows, so choose the one that matches the values you actually know. Use it to check the arithmetic while keeping the displayed method and entered values with your work.

Step by step

  1. For the Root, enter value, root degree. Keep each value in the unit displayed beside its field.
  2. Review the selected Root workflow and inputs, then read root in the result panel.
  3. Change one Root assumption at a time to compare scenarios. Use Reset to restore this tool's worked example values.

How the calculation works

Square, cube, or general nth root, including real roots of negative values for odd integer degrees.

Worked example

In the Root worked example, value 81, root degree 2 produces root of 9. Square Root: Square, cube, or general nth root, including real roots of negative values for odd integer degrees. Review the displayed units before comparing the result.

Understanding the result

The Root reports root. Use it to check the arithmetic while keeping the displayed method and entered values with your work. The result depends on the entered values, selected mode, and displayed mathematical assumptions.

How to check the answer

Check the Root answer by substituting root back into the stated relationship. Test a simple value such as zero, one, or an equal pair, then confirm that sign, scale, units, and rounding match Square, cube, or general nth root, including real roots of negative values for odd integer degrees.

Common questions

What does the Root calculate?

Estimate root from value, root degree with the Root Calculator.

Which Root inputs have the biggest effect?

root responds directly to value, root degree. Change one input while holding the others constant to see its effect.

Is the Root result exact?

The result depends on the entered values, selected mode, and displayed mathematical assumptions. Recheck value, root degree and use root only for a decision where that level of precision is appropriate.

Formula tests, limits, sources, and guide registry updated September 1, 2026.
INTERPRET THE RESULTRead the math guideCheck assumptions, limitations and comparison methods →