Quickly multiply complex numbers with our free online calculator. Simply input your two complex numbers in the standard a + bi form and get the product instantly. Ideal for students, engineers, and mathematicians needing precise complex number multiplication.
Formula:
To multiply two complex numbers, say z1 = a + bi and z2 = c + di, the formula is:
z1 * z2 = (a + bi)(c + di) = (ac - bd) + (ad + bc)i
Where:
- a is the real part of the first complex number
- b is the imaginary part of the first complex number
- c is the real part of the second complex number
- d is the imaginary part of the second complex number
- i is the imaginary unit, where i2 = -1