1. What is Square Root?

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 × 3 = 9.

2. How Does the Calculator Work?

The calculator uses the mathematical square root function:

Where:

• \( x \) — The number you want to find the square root of (must be ≥ 0)
• \( y \) — The resulting square root value

Explanation: The calculator uses PHP's built-in sqrt() function to compute the square root with high precision.

3. Importance of Square Root Calculation

Details: Square roots are fundamental in mathematics and have applications in geometry, physics, engineering, statistics, and many scientific calculations.

4. Using the Calculator

Tips: Enter any non-negative number (integer or decimal) to calculate its square root. The result will be displayed with up to 4 decimal places.

5. Frequently Asked Questions (FAQ)

Q1: Can I calculate square roots of negative numbers?
A: Not with real numbers. The square root of a negative number involves imaginary numbers (i).

Q2: What's the square root of 0?
A: The square root of 0 is 0 (0 × 0 = 0).

Q3: How precise are the results?
A: Results are accurate to at least 4 decimal places.

Q4: What's the square root of 1?
A: The square root of 1 is 1 (1 × 1 = 1).

Q5: What are some practical uses of square roots?
A: Calculating distances (Pythagorean theorem), standard deviations in statistics, quadratic equations, and many physics formulas.