Multiplying & Dividing Complex Numbers
Multiplying & Dividing Complex Numbers
Remember that Therefore:
What is
What is
๐2=โ1
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 โ 7i
Your Turn -2X โ 12Yi = 30 โ 8i
3X โ 4Yi = -21 โ 42i