What is a Root Calculator?

Our Root Calculator is a fast and free tool to find the square root √, cube root (∛), or any nth root of a real number. Instead of calculating the long way with a number of manual steps, you get a fast, accurate answer, and is perfect for homework problems, engineering calculations, programming assignments, or just to check your own work. If you need to simplify a radical, or confirm a result, or explore nth powers and roots, this root calculator online will get you from a question to a solution in seconds.

How Does the Root Calculator Work?

Simply do the following:

1. Enter the number (x) you want the root of.
2. Choose the root (n) - Square (2), Cube (3) or any custom n (i.e., 4th root, 5th root, etc.).
3. Click Calculate to see the result.

The tool provides the exact value when possible, (e.g., √144 = 12), and also if useful provides a simplified radical, as well as decimal approximation, (e.g., √50 = 5√2 ≈ 7.0711). This makes it useful for algebra situations where precision is required as well as quick numerical answers.

Root Calculator Formula

The calculator uses the standard power–root identity:

n√x = x^(1/n)

Where:

• x = the number
• n = degree of the root (2 for square, 3 for cube, etc.)

Special cases:

• Square root: √x = x^(1/2)
• Cube root: ∛x = x^(1/3)

When x is a perfect power (e.g., 144 = 12² or 64 = 4³), the result is an integer. Otherwise, the tool shows a simplified radical (if possible) and a decimal value.

Disclaimer

This Root Calculator is for educational and informational use only. Results may include rounding or simplification. Verify critical calculations with authoritative references. Thanks.