Simplifying Complex Number Multiplication: (3i)(2i)(5i)
This article will guide you through the process of simplifying the multiplication of complex numbers: (3i)(2i)(5i).
Understanding Complex Numbers
Complex numbers are numbers that can be expressed in the form a + bi, where 'a' and 'b' are real numbers, and 'i' is the imaginary unit, defined as the square root of 1.
Simplifying the Expression
Let's break down the multiplication stepbystep:

Multiply the first two factors: (3i)(2i) = 6i²

Substitute i² with 1: 6i² = 6(1) = 6

Multiply the result by the third factor: 6(5i) = 30i
Therefore, the simplified form of (3i)(2i)(5i) is 30i.
Key Points to Remember
 i² = 1 is a fundamental property of complex numbers.
 The product of two complex numbers is another complex number.
 Remember to treat 'i' as a variable when multiplying.
By understanding these concepts, you can easily simplify any multiplication involving complex numbers.