How do I use the Root Calculator?
Enter your values in the fields and the result updates instantly as you type.
Root Calculator
Calculate square root, cube root, or nth root. Enter your values, review the formula, and use the worked result as a quick check for everyday planning.
Root Calculator
Calculate square root, cube root, or nth root.
Any positive number
Integer ≥ 2
Results
3th root
4
Formula: Root = value^(1/n)
Root Calculator: Square Root, Cube Root, and Nth Root
Calculate any root of a positive number — square root (2nd root), cube root (3rd root), or any nth root. The calculator raises the value to the reciprocal of the root degree.
Formula
Result = value^(1/n). The square root of 9 is 9^(1/2) = 3. The cube root of 27 is 27^(1/3) = 3. The nth root of a number is that number raised to 1/n.
Worked example
√64 = 8. Cube root of 64 = 4. 4th root of 16 = 2. The value must be non-negative for even roots (2nd, 4th, 6th, etc.).
Practical guidance
Even roots and negative inputs
Square roots and other even-index roots of negative numbers are not real numbers (they require imaginary/complex numbers). The calculator expects non-negative inputs for even roots. For odd roots like cube root, negative inputs work: cube root of −8 = −2.
When to use roots vs exponents
Use the Root Calculator when you know the result and the exponent and need to find the base. For example: "What number squared gives 144?" → square root of 144 = 12. Use the Exponent Calculator when you know the base and exponent and need the result.
Frequently asked questions
What formula does this calculator use?
Root = value^(1/n)
Can I use decimal values?
Yes. Decimal inputs are supported for most calculators. Integer-based tools use rounded integer values where appropriate.
Is this calculator free?
Yes. CalcuNimble calculators are free and optimized for fast everyday use.