1. What Is A Radical Calculator?

A radical calculator is a mathematical tool that computes the square root (or other roots) of a given number. The square root of a number x is a value y such that when y is multiplied by itself, it gives x.

2. How Does The Calculator Work?

The calculator uses the square root formula:

Where:

• \( x \) — The number under the radical sign (radicand)
• \( y \) — The square root result

Explanation: The calculator finds the principal square root of non-negative numbers using mathematical algorithms.

3. Importance Of Square Root Calculation

Details: Square roots are fundamental in mathematics, physics, engineering, and various scientific calculations. They are used in distance formulas, quadratic equations, statistical calculations, and many real-world applications.

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 for precision.

5. Frequently Asked Questions (FAQ)

Q1: Can I calculate square roots of negative numbers?
A: The calculator only handles real numbers. For negative numbers, you would need to work with complex numbers (imaginary unit i).

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

Q3: How accurate are the results?
A: Results are accurate to 4 decimal places, which is sufficient for most practical applications.

Q4: Can this calculator handle very large numbers?
A: Yes, the calculator can process very large numbers within the limits of PHP's floating-point arithmetic.

Q5: What about other roots like cube roots?
A: This calculator specifically calculates square roots. For other roots, you would need a different calculator or mathematical function.