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 input number (must be ≥ 0)
• \( y \) — The resulting square root

Explanation: The calculator computes the principal (non-negative) square root of the input 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 (including decimals) 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 complex numbers, the square root of a negative number involves imaginary numbers (i).

Q2: How precise are the results?
A: Results are accurate to at least 4 decimal places.

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

Q4: What's the difference between √x and x^(1/2)?
A: They are mathematically equivalent - both represent the square root of x.

Q5: Can I calculate higher roots (cube roots, etc.)?
A: This calculator only computes square roots. For nth roots, you would need a different calculator.