1. What is Square Root?

The square root of a number is a value that, when multiplied by itself, gives the original number. In Python, it's calculated using the math.sqrt() function from the math module.

2. How Does the Calculator Work?

The calculator uses the following mathematical operation:

Where:

• \( x \) — The number you want to find the square root of (must be ≥ 0)
• \( \sqrt{x} \) — The square root of x

Explanation: The function returns the principal square root (the non-negative square root) of a non-negative number.

3. Importance of Square Root Calculation

Details: Square roots are fundamental in mathematics and have applications in various fields including physics, engineering, finance, and computer graphics.

4. Using the Calculator

Tips: Enter any non-negative number to calculate its square root. The result will be displayed with 4 decimal places precision.

5. Frequently Asked Questions (FAQ)

Q1: What happens if I enter a negative number?
A: The calculator will not accept negative inputs as square roots of negative numbers are complex numbers (not handled by basic sqrt function).

Q2: How precise is the calculation?
A: The result is accurate to 4 decimal places, which is sufficient for most practical purposes.

Q3: What's the time complexity of sqrt calculation?
A: Modern computers calculate square roots very quickly, typically in constant time O(1) for fixed-size numbers.

Q4: Are there alternatives to math.sqrt() in Python?
A: Yes, you can also use x**0.5 or pow(x, 0.5) to calculate square roots in Python.

Q5: How does Python handle very large numbers?
A: Python's math module handles arbitrarily large numbers (limited by system memory) for square root calculations.