## Multiplying Complex Numbers: (6i)(5i)

This article will guide you through multiplying the complex numbers (6i) and (5i).

### Understanding Complex Numbers

Complex numbers are numbers that consist of a real part and an imaginary part. The imaginary part is denoted by the letter 'i', where **i² = -1**.

### Multiplication of Complex Numbers

To multiply complex numbers, we follow the distributive property, just like we would with regular algebraic expressions.

Let's multiply (6i) and (5i):

**(6i)(5i) = (6 * 5) * (i * i)**

**= 30 * i²**

Since **i² = -1**, we can substitute:

**= 30 * (-1)**

**= -30**

Therefore, **(6i)(5i) = -30**.

### Key Points:

- Remember that
**i² = -1**. - When multiplying complex numbers, treat 'i' as a variable.
- Apply the distributive property to simplify the multiplication.

This example shows how multiplying complex numbers can lead to a real number as a result. Understanding the properties of complex numbers and their multiplication is crucial for solving problems in various mathematical fields.