Multiply by the conjugate to rationalize the denominator

The video tutorial explains how to simplify the division of complex numbers by eliminating imaginary numbers from the denominator using the conjugate. It covers the multiplication of binomials, the difference of two squares, and the FOIL method. The tutorial also demonstrates combining like terms and converting the result into standard complex form.

Why is it important to eliminate imaginary numbers from the denominator of a rational expression?

• To make the expression easier to read

• To ensure the expression is in standard form

• To simplify the calculation process

• To avoid division by zero

What is the conjugate of a binomial a - bi?

• a - bi

• a - b

• a + bi

• a + b

When multiplying binomials, what does the difference of squares formula simplify to?

• a^2 - 2ab + b^2

• a^2 + 2ab + b^2

• a^2 - b^2

• a^2 + b^2

What is the result of i squared in complex numbers?

• 1

• -1

• -i

• i

How is a complex number typically expressed in standard form?

• A - Bi

• A + B

• A + Bi

• A - B