Square Root Calculator
Calculate the square root of any non-negative number instantly with our free and easy-to-use Square Root Calculator.
Enter a number to get its square root, squared result, calculation formula, and a simple explanation.
Calculate a Square Root
Enter a non-negative number below to calculate its square root.
Square Root Result
What Is a Square Root?
The square root of a number is a value that, when multiplied by itself, produces the original number.
For example, the square root of 25 is 5 because 5 × 5 = 25.
The square root symbol is called the radical sign and is written as √.
Square Root Formula
If a number is represented by x, its square root can be written as:
√x = y
This means that:
y × y = x
For example:
√144 = 12
because 12 × 12 = 144.
Common Square Roots
| Number | Square Root | Verification |
|---|---|---|
| 0 | 0 | 0 × 0 = 0 |
| 1 | 1 | 1 × 1 = 1 |
| 4 | 2 | 2 × 2 = 4 |
| 9 | 3 | 3 × 3 = 9 |
| 16 | 4 | 4 × 4 = 16 |
| 25 | 5 | 5 × 5 = 25 |
| 36 | 6 | 6 × 6 = 36 |
| 49 | 7 | 7 × 7 = 49 |
| 64 | 8 | 8 × 8 = 64 |
| 81 | 9 | 9 × 9 = 81 |
| 100 | 10 | 10 × 10 = 100 |
| 144 | 12 | 12 × 12 = 144 |
How to Use the Square Root Calculator
- Enter a non-negative number.
- Click Calculate Square Root.
- View the square root and calculation details.
- Use Reset to perform another calculation.
Square Root Examples
Example 1: √100 = 10 because 10 × 10 = 100.
Example 2: √64 = 8 because 8 × 8 = 64.
Example 3: √2 ≈ 1.414213562 because 1.414213562 × 1.414213562 is approximately 2.
Not every positive number has a whole-number square root. The calculator displays an accurate decimal approximation for such numbers.
Important Note About Negative Numbers
This calculator is designed to calculate real-number square roots. A negative number does not have a real-number square root.
For example, √−9 is not a real number. It can be represented using imaginary numbers, but that is outside the scope of this calculator.
Frequently Asked Questions
What is the square root of 25?
The square root of 25 is 5 because 5 × 5 = 25.
What is the square root of 144?
The square root of 144 is 12 because 12 × 12 = 144.
Can I calculate the square root of a decimal?
Yes. You can enter decimal values such as 2.25, 10.5, or 0.25.
Can I calculate the square root of a negative number?
This calculator only provides real-number results, so negative inputs are not accepted.
What is a perfect square?
A perfect square is a number whose square root is a whole number. Examples include 4, 9, 16, 25, and 100.