1. What is Negative Square Roots Multiplication?

The multiplication of negative square roots follows specific mathematical rules in complex number theory. The product of two negative square roots results in a negative real number.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( a \) — Positive real number
• \( b \) — Positive real number
• The result is a negative real number

Explanation: This formula demonstrates how imaginary numbers (√-a and √-b) multiply to produce a real negative number.

3. Importance of Imaginary Numbers

Details: Understanding how negative square roots multiply is fundamental in complex number theory, electrical engineering, and quantum physics.

4. Using the Calculator

Tips: Enter two positive real numbers. The calculator will compute the product of their negative square roots.

5. Frequently Asked Questions (FAQ)

Q1: Why does multiplying two imaginary numbers give a real number?
A: Because √-a × √-b = (i√a) × (i√b) = i²√(ab) = -√(ab), where i is the imaginary unit.

Q2: What are some applications of this calculation?
A: Used in AC circuit analysis, signal processing, and solving quadratic equations with complex roots.

Q3: Can I use this for positive square roots?
A: No, this specific formula only applies to negative square roots. Positive square roots multiply differently.

Q4: What if I enter zero?
A: The calculator requires positive numbers. Zero would result in zero, but isn't allowed as it's not positive.

Q5: How precise are the results?
A: Results are accurate to 4 decimal places, sufficient for most applications.