MATH / COMPLEX NUMBERS
Multiply two complex numbers and separate the real and imaginary result components. Review the equation, substituted values, result context, and modelling limits in one guided workspace.
Use boundary
Multiply two complex numbers and separate the real and imaginary result components. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
(a+bi)(c+di) = (ac-bd)+(ad+bc)i
What you provide
What you receive
Use boundary
The imaginary unit follows i squared equals negative one.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors