Root Calculator Online
Find the square root, cube root or any nth root of a number instantly. Everything is computed in your browser.
The Root Calculator runs entirely in your browser. Numbers you enter are computed locally on your device and are never uploaded to ArrayKit.
Open the Exponent Calculator
About Root Calculator
The Root Calculator finds the square root, cube root, or any nth root of a number by solving x^n = value for x. Type a number and set the root degree — 2 for square root, 3 for cube root, or any whole number above that — and the calculator returns the real result immediately, along with a note when no real root exists (an even-degree root of a negative number). It handles perfect roots like the cube root of 27 as well as irrational results like the square root of 2, rounding cleanly for easy reading. Useful for students checking homework, engineers sizing formulas, or anyone who needs a quick radical without reaching for a scientific calculator. Numbers are computed in your browser and never leave your device.
Features
- Computes the square root, cube root, or any nth root of a number
- Adjustable root degree field accepts any positive whole number
- Handles negative numbers correctly, including real odd-degree roots
- Flags when no real root exists for an even-degree root of a negative number
- Shows results rounded to a readable number of decimal places
- One-click copy of the full result as a plain-text summary
- Instant recalculation as you type, no separate submit step
- Runs entirely client-side with no numbers sent anywhere
How to use the Root Calculator
- Enter the number you want to find the root of
- Set the root degree — 2 for square root, 3 for cube root, or any whole number
- Read the computed root in the result row
- Copy the result with one click if you need it elsewhere
Example
Input
∛27
Output
3
The cube root of 27 is 3, since 3 × 3 × 3 = 27.
Common errors & troubleshooting
- Entering a decimal like 2.5 as the root degree gives an error. — The root degree must be a whole number of 1 or more — use 2 for square root, 3 for cube root, and so on.
- A square root of a negative number shows a warning instead of a value. — Even-degree roots (square, 4th, 6th…) of a negative number have no real result. Use an odd degree, such as 3 for cube root, if the number is negative.
- The result for the square root of 2 looks like it never ends. — That's expected — √2 is irrational, so the Root Calculator shows a rounded decimal rather than an exact fraction.
- Leaving the number or degree field blank shows nothing. — Both fields are required. Fill in a number and a root degree of 1 or greater to see a result.
Frequently asked questions
- What can the Root Calculator find besides square roots?
- It finds any nth root — square root (n=2), cube root (n=3), or higher roots like the 4th or 5th root — by entering the desired degree alongside the number.
- Can the Root Calculator handle negative numbers?
- Yes. For an odd root degree, such as cube root, negative numbers have a real negative result (for example the cube root of -8 is -2). For an even degree, the calculator flags that no real root exists.
- Why does the Root Calculator show a warning for √-4?
- An even-degree root — square root, 4th root, and so on — of a negative number is not a real number. The Root Calculator surfaces the magnitude but marks the result as not real.
- How precise is the result from the Root Calculator?
- Results are computed to full floating-point precision and displayed rounded to up to 10 decimal places, which is accurate enough for schoolwork, engineering estimates, and everyday math.
- Does the Root Calculator send my numbers anywhere?
- No. The Root Calculator runs entirely in your browser. The numbers you enter are computed locally and are never uploaded to ArrayKit.
- What is the difference between a root and an exponent in this calculator?
- A root asks 'what number, raised to the nth power, equals this value?' while an exponent asks 'what is this value raised to the nth power?' Use the Exponent Calculator for the inverse operation.
Related tools
All ArrayKit tools