1. What is Square Root Calculation?

The square root of a number is a value that, when multiplied by itself, gives the original number. It's a fundamental mathematical operation with applications in geometry, physics, engineering, and many other fields.

2. How Does the Calculator Work?

The calculator uses the square root formula:

Where:

• \( num \) — The input number (must be positive)
• \( Result \) — The square root of the number

Explanation: The calculator computes the principal (non-negative) square root of the given number.

3. Importance of Square Root Calculation

Details: Square roots are essential in many mathematical and scientific calculations, including distance measurements, quadratic equations, standard deviation calculations, and more.

4. Using the Calculator

Tips: Enter any positive number to calculate its square root. The result will be displayed with up to 4 decimal places for precision.

5. Frequently Asked Questions (FAQ)

Q1: Can I calculate square roots of negative numbers?
A: This calculator only handles real numbers. For negative numbers, you would need complex number calculations (involving imaginary unit i).

Q2: How precise are the results?
A: Results are rounded to 4 decimal places for readability while maintaining reasonable precision.

Q3: What's the square root of zero?
A: The square root of zero is zero (0).

Q4: Are there other methods to calculate square roots?
A: Yes, methods include the Babylonian method, Newton's method, and using logarithms, though this calculator uses PHP's built-in sqrt() function.

Q5: What are some practical applications of square roots?
A: Applications include calculating distances (Pythagorean theorem), standard deviations in statistics, signal processing, and physics equations.