1. What is the Square Root Function?

The square root function calculates the principal square root of a non-negative real number. For a given number x, the square root is a value that, when multiplied by itself, gives x.

2. How Does the Calculator Work?

The calculator uses the square root function:

Where:

• \( x \) — Input value (must be ≥ 0)
• \( \sqrt{x} \) — Square root of x

Explanation: The square root function returns the non-negative root of the input value. For example, √4 = 2, √9 = 3.

3. Importance of Square Root Calculation

Details: Square root calculations are fundamental in mathematics, physics, engineering, and various scientific applications. They are used in distance calculations, quadratic equations, statistical analyses, and many 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 of the entered value. Negative inputs will generate an error message.

5. Frequently Asked Questions (FAQ)

Q1: Can I calculate square roots of negative numbers?
A: No, this calculator only handles real numbers. The square root of a negative number would be a complex number, which is beyond the scope of this calculator.

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 any limitations to this calculator?
A: The main limitation is that it only calculates the principal (non-negative) square root and doesn't handle complex numbers.

Q5: How is this different from other root calculations?
A: This calculator specifically computes square roots (2nd roots). Other calculators might handle cube roots, fourth roots, or nth roots in general.