1. What is Square Root?

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

2. How Does the Calculator Work?

The calculator uses the square root formula:

Where:

• \( x \) — The number you want to find the square root of (must be positive)
• \( y \) — The square root result

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

3. Importance of Square Root Calculation

Details: Square roots are essential in many mathematical and scientific calculations, including solving quadratic equations, calculating distances, and in statistical formulas like standard deviation.

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.

5. Frequently Asked Questions (FAQ)

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

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

Q3: How precise are the results?
A: Results are rounded to 4 decimal places for readability.

Q4: What's the difference between principal and negative square root?
A: Every positive number actually has two square roots (e.g., √9 = 3 and -3). This calculator returns the principal (positive) square root.

Q5: What are some practical applications of square roots?
A: Used in calculating areas, Pythagorean theorem, standard deviation in statistics, signal processing, and many physics formulas.