Multiplying & Dividing Complex Numbers

Remember that Therefore:

What is

What is

𝑖2=−1

Multiply

Simplify

Write the expression as a complex number

You Try

Complex ConjugatesThese are used to rationalize a

denominator. Imaginary numbers are NOT allowed in the denominator.

What is the conjugate?(4+3i)(7+12i)(-3-4i)(-5+8i)

Write each expression as a complex number in

standard form

Simplify*Remember to use the conjugate of the denominator to rationalize!

Simplify*Remember to use the conjugate of the denominator to rationalize!

You Try *Remember to use the conjugate of the denominator to rationalize!

Solving for real numbers*Set real number to real number*Set imaginary number to imaginary number.

X + Yi = -2 + 3i

3X + Yi = -9 – 7i

Your Turn -2X – 12Yi = 30 – 8i

3X – 4Yi = -21 – 42i