Multiplying Complex Numbers: (7i)(2i)
This article will guide you through the process of multiplying the complex numbers (7i) and (2i).
Understanding Complex Numbers
Complex numbers are numbers that involve the imaginary unit 'i', where i² = 1. They are typically written in the form a + bi, where 'a' and 'b' are real numbers.
Multiplication Process

Distribute: Treat the multiplication like you would with any other binomial. Multiply each term of the first complex number by each term of the second: (7i)(2i) = (7i * 2i)

Simplify: Combine the coefficients and remember that i² = 1: (7i * 2i) = 14i² 14i² = 14(1)

Final Result: 14(1) = 14
Therefore, the product of (7i) and (2i) is 14.