How it works
Calculate the nth root of a number.
Input query strings and outputs
Use an input name in this page’s URL as ?name=value, and join additional inputs with &. Portable shared links may instead use the compact ?ac= state parameter.
Input query strings
2-
?degree=DegreeNumber · Optional · Default: 3
-
?number=NumberNumber · Optional · Default: 64
Outputs
1-
resultResultText · Primary output
result contains the calculator’s complete rendered result area, including its visible result cards, tables, charts, and messages.
Calculate square roots, cube roots, and nth roots
Description
The Root Calculator is a versatile math tool for finding the “radicals” of numbers. While most calculators have a dedicated square root button, this tool allows you to calculate roots of any Degree ($n$). Whether you need the fourth root of a complex number or a standard cube root, it provides the precise decimal result instantly.
Inputs
- Number: The base value you are analyzing.
- Degree: The root level (e.g., 2 for square root, 3 for cube root, etc.).
Outputs
- Result: The calculated nth root.
Chart
- N/A: This tool provides a direct numeric radical result.
“Good to Know”
- The Inverse Power: Taking the nth root of a number is mathematically the same as raising that number to the power of $1/n$ (e.g., $\sqrt{x} = x^{0.5}$).
- Square Roots of Negatives: Standard calculators (including this one) will result in an error or “NaN” for roots of negative numbers unless you are using complex number theory.
- Degree 1: The 1st root of any number is simply the number itself!
Examples
Example 1: Standard Cube Root
- Input: Number: 64, Degree: 3
- Output: 4.00000
Example 2: Fourth Root
- Input: Number: 16, Degree: 4
- Output: 2.00000
Example 3: Unusual Degree
- Input: Number: 50, Degree: 5
- Output: 2.18672