# Worksheet for Complex Number Multiplication

A complex number is a number consist of real part and imaginary part and is represented as a + bi. In a complex number, the Real part and Imaginary parts are denoted by Re(z) and Im(z).
where
a is a real part
b is a complex part
In complex number multiplication calculator simple multiplication operation is performed.
Let z1 and z2 be the two complex numbers
z1 = a + bi
z2 = c + di

Complex Numbers Multiplication Formula:
z1.z2 = (a + bi).(c + di)
= ac + adi + bci +bdi2
but remember i2 = -1,
So z1.z2 = (ac - bd) + (bc + ad)i

Example:
Perform Complex Multiplication for the below numbers
X = 1 + 2i, Y = 3 + 4i
Here a = 1, b = 2, c = 3, d = 4

The result is,
z1.z2 = ( 1*3 - 2*4 ) + ( 2*3 + 1*4 )i
= -5 + 10i

The resultant complex value is -5 + 10i

When you try such calculations on your own, this complex number multiplication calculator can be used to verify results of calculations.

Similar Worksheets  Worksheet for Complex Number Addition & Subtraction
Worksheet for Complex Number Division
Worksheet for Binary to Decimal, Hexa and Octal number conversion
Worksheet for Octal Number Conversion
Worksheet for how to Calculate Antilog
Worksheet for how to Calculate Permutations nPr and Combination nCr
Math Worksheet to find n Factorial value
Math Worksheet to calculate Polynomial Addition
Worksheet for how to find out Z Score Value
Worksheet for how to calculate T Test

Math Worksheets