Root Calculator
Calculate nth roots and square roots
About the Root Calculator
Square roots, cube roots, and higher roots all answer the same question: what number, multiplied by itself a certain number of times, gives this value? This calculator finds any root you ask for — enter a number and a root degree, and it returns the result as a decimal and in radical notation.
Students checking algebra and geometry work use it constantly, as do people working with formulas involving areas, volumes, or growth rates. Quick buttons cover the square, cube, and fourth roots for the most common cases, while the degree field handles any nth root you need.
How to Use the Root Calculator
- Enter the number you want the root of.
- Enter the root degree (2 for square root, 3 for cube root, and so on) — or tap a quick-root button.
- Read the decimal result.
- Check the radical-notation form and the step-by-step breakdown.
Why Use ToolForge’s Root Calculator
- It computes any nth root, not just square roots, so cube and higher roots are one entry away.
- Quick buttons for the square, cube, and fourth roots cover the everyday cases without typing a degree.
- It displays the answer in proper radical notation alongside the decimal, reinforcing the math.
- Calculations happen instantly on your device with no sign-up.
Frequently Asked Questions
What does the root degree mean?
The degree is how many times the result is multiplied by itself to get your number. A degree of 2 is a square root, 3 is a cube root, 4 is a fourth root, and so on. This calculator accepts any degree you enter.
Can I take the root of a negative number?
Odd roots of negatives are real — the cube root of −8 is −2, for instance. Even roots of negative numbers, like the square root of −4, are not real numbers, so those will not return a valid decimal result here.
What is radical form?
Radical form writes the operation with the root symbol, such as √64 or ³√27, rather than as a decimal. The calculator shows both so you can present the answer either way, which is handy for schoolwork.
How is a root related to an exponent?
Taking the nth root is the same as raising to the power of 1/n — a square root is the power 0.5, a cube root is the power one-third. That is exactly how this calculator computes roots, which is why it handles any degree you enter.
