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 is represented by the radical symbol √. 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
• \( y \) — The square root result

Explanation: The calculator computes the principal square root of any non-negative number using PHP's built-in sqrt() function.

3. Importance of Square Root Calculation

Details: Square root calculations are fundamental in mathematics, physics, engineering, and many scientific applications. They are used in distance calculations, quadratic equations, statistical analysis, and various geometric computations.

4. Using the Calculator

Tips: Enter any non-negative number in the input field. The calculator will compute and display the square root value. Negative numbers are not allowed as real square roots of negative numbers are complex numbers.

5. Frequently Asked Questions (FAQ)

Q1: Can I calculate square roots of negative numbers?
A: No, this calculator only handles real numbers. Square roots of negative numbers involve complex numbers (imaginary unit i).

Q2: How precise are the results?
A: Results are calculated with high precision and rounded to 4 decimal places for readability.

Q3: What is the square root of zero?
A: The square root of 0 is 0, as 0 × 0 = 0.

Q4: Are there special cases for perfect squares?
A: Perfect squares (like 4, 9, 16, 25, etc.) have integer square roots, while other numbers have irrational square roots.

Q5: Can this calculator handle very large numbers?
A: Yes, the calculator can handle very large numbers within the limits of PHP's floating-point arithmetic.