When a real number is multiplied by an imaginary number, you get a “complex number,” which is \(a+ib\).Ĭomplex number multiplication is similar to binomial multiplication utilizing the distributive property. Created by Sal Khan and Monterey Institute for Technology and. ![]() So, when you multiply complex numbers like 1-3i and 2+5i, you get a new complex number: 17-i. Remember, the imaginary unit i squared equals -1. ![]() Compared to the adding and subtracting of complex numbers, it is a more complicated process. Discover how to multiply complex numbers Just like multiplying regular numbers, you can use the distributive property or FOIL method. Step 1: Multiply the numerator and the denominator by the complex conjugate of the denominator. When two or more complex numbers are multiplying is a fundamental operation. To divide two complex numbers in the form of a quotient, multiply both the numerator and denominator by the complex conjugate of the denominator. Well, you can multiply two complex numbers together by multiplying their magnitudes together, and adding their phases. + Ratio, Proportion & Percentages Puzzles.
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