Square Root Calculator
Enter a number to instantly get its square root, cube root, or nth root — plus whether it's a perfect square or cube.
Enter any number to find its square root (√), cube root (∛), or any nth root. The calculator tells you if the number is a perfect square or perfect cube, finds the nearest perfect square, and shows the full decimal result.
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Last reviewed: April 2026Report an error
√144
12
Square root of 144 = 12
Perfect Square?
✓ Yes
Perfect Cube?
No
Nearest Perfect Square
144
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The Formula
ⁿ√x = x^(1/n)
- x = The number
- n = The root index (2 = square, 3 = cube)
How to Use This Square Root Calculator
- Enter the number you want to find the root of.
- Choose the root: 2 for square root, 3 for cube root, or any N.
- Read the result, the perfect square/cube status, and the nearest perfect square.
Frequently Asked Questions
- A perfect square is an integer that is the square of another integer. Examples: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100. Their square roots are whole numbers.
- Not in real numbers — the square root of a negative is imaginary (e.g., √-1 = i). This calculator handles real numbers only. Cube roots of negative numbers are real (e.g., ∛-8 = -2).
- Factor out perfect squares: √72 = √(36×2) = 6√2. This calculator shows the decimal result; use factorization to simplify the radical form.
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