Tutorial - How do we divide complex numbers, 8/i

The video tutorial explains the process of dividing complex numbers by first discussing the division of real numbers, including cases with remainders. It then moves on to dividing by irrational numbers, highlighting the need to simplify by eliminating square roots. The tutorial further explores dividing complex numbers, focusing on removing the imaginary unit from the denominator by multiplying by the conjugate. The video concludes with a summary of the key points covered.

What is the result of dividing 8 by 4?

• 4

• 3

• 2

• 1

When dividing 8 by 3, what is the remainder?

• 2

• 3

• 4

• 1

How do you simplify the expression 8 divided by the square root of 2?

• Multiply by 2

• Multiply by the square root of 2

• Divide by 2

• Divide by the square root of 2

What is the simplified form of 8 divided by i?

• 8i

• -8i

• -8

• 8

Why do we multiply by the conjugate when dividing by imaginary numbers?

• To make the denominator zero

• To eliminate the imaginary unit from the denominator

• To simplify the numerator

• To increase the value of the numerator