Quick Square Root Calculator

Quickly calculate square roots of positive numbers with our simple online tool. Perfect for students, engineers, and anyone needing fast mathematical results.

How to Use This Calculator

Using our square root calculator is straightforward:

Enter a positive number in the input field
Click the "Calculate" button
View the result in the output panel
Use the "Reset" button to clear the calculator

The calculator will display the principal (non-negative) square root of your input number. For example, the square root of 25 is 5.

Square Root Formula

The square root of a number x is a value that, when multiplied by itself, gives x. Mathematically, this is represented as:

Square Root Formula

√x = y, where y × y = x

For example, √9 = 3 because 3 × 3 = 9

Our calculator uses JavaScript's built-in Math.sqrt() function to compute accurate square roots for positive numbers.

Worked Examples

Example 1: Square Root of 16

Input: 16

Calculation: √16 = 4 (since 4 × 4 = 16)

Result: 4

Example 2: Square Root of 2

Input: 2

Calculation: √2 ≈ 1.41421356237 (approximate value)

Result: 1.41421356237

Notice that the square root of 2 is an irrational number that cannot be expressed as a simple fraction.

Frequently Asked Questions

What is the square root of a negative number?

The square root of a negative number is not a real number. In mathematics, it's represented using imaginary numbers (i, where i² = -1). For example, √(-1) = i.

Can I calculate square roots of fractions?

Yes, you can calculate square roots of fractions. For example, √(1/4) = 1/2. Our calculator handles decimal inputs, so you can enter numbers like 0.25 to get the same result.

Is the square root always positive?

Yes, by definition, the principal (or non-negative) square root is always positive. For example, both 3 and -3 have a square root of 3 because (-3) × (-3) = 9.