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 square root formula:

Where:

• \( x \) — The number you want to find the square root of

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

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 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, you would need complex numbers (using imaginary unit i).

Q2: What's the difference between principal and negative square root?
A: Every positive number has two square roots (positive and negative). This calculator returns the principal (positive) square root.

Q3: How precise are the results?
A: Results are rounded to 4 decimal places. For most practical purposes, this provides sufficient precision.

Q4: What's the square root of zero?
A: The square root of 0 is 0, as 0 × 0 = 0.

Q5: How are square roots calculated computationally?
A: Most computers use efficient algorithms like Newton's method or the built-in hardware instructions for calculating square roots.