Tutorial - Multiplying two imaginary numbers ex 13, (5i)(2i)

The video tutorial explains how to multiply two imaginary numbers, 5i and 2i. It begins by treating the multiplication similar to algebraic terms, resulting in 10i^2. The tutorial then explains the value of i squared as -1, leading to the final result of -10. The process is broken down into clear steps, ensuring understanding of each part of the multiplication.

What is the first step in multiplying two imaginary numbers like 5i and 2i?

• Divide the coefficients

• Add the coefficients

• Multiply the coefficients

• Subtract the coefficients

When multiplying imaginary numbers, what is the result of i squared?

• 1

• -1

• i

• -i

What is the value of i to the fourth power?

• -1

• 1

• -i

• i

How do you express the result of 10i^2 in terms of real numbers?

• -i

• 10

• i

• -10

What is the final result of multiplying 5i and 2i?

• -10i

• 10

• -10

• 10i