(4i)(5i)

Jasonbradley

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Jun 16, 2024

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Multiplying Imaginary Numbers: (4i)(5i)

In the realm of mathematics, imaginary numbers are a fascinating concept, denoted by the symbol i, where i² = -1. Let's delve into multiplying two imaginary numbers: (4i)(5i).

Understanding the Process

Multiplying imaginary numbers follows the same principles as multiplying any other algebraic expressions. The key difference lies in the fact that i² is always equal to -1.

1. Multiply the coefficients: 4 x 5 = 20
2. Multiply the imaginary units: i x i = i²
3. Substitute i² with -1: 20 x (-1) = -20

The Result

Therefore, the product of (4i)(5i) is -20.

Key Takeaways

• Imaginary numbers are a fundamental concept in mathematics.
• The product of two imaginary numbers can result in a real number.
• Understanding the relationship between i and -1 is crucial for calculations involving imaginary numbers.