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(5i)(3i)

2 min read Jun 16, 2024
(5i)(3i)

Multiplying Imaginary Numbers: (5i)(3i)

This article will explain how to multiply the imaginary numbers (5i) and (3i).

Understanding Imaginary Numbers

The imaginary unit, denoted by i, is defined as the square root of -1. This means that i² = -1.

Multiplying (5i)(3i)

  1. Combine the coefficients: Multiply the coefficients of the imaginary numbers: 5 * 3 = 15.
  2. Multiply the imaginary units: Multiply the 'i' terms: i * i = i².
  3. Simplify using i² = -1: Since i² = -1, we can replace i² with -1.

Therefore, (5i)(3i) = 15i² = 15 * (-1) = -15.

Key Takeaways

  • Imaginary numbers are numbers that can be written in the form bi, where 'b' is a real number and 'i' is the imaginary unit.
  • When multiplying imaginary numbers, treat 'i' as a variable.
  • Remember that i² = -1.

By understanding these concepts, you can confidently multiply imaginary numbers and simplify expressions involving them.

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