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Below is a few practice problems of various difficulty, but you will need considerably more practice than one each. For that reason
you should definitely use the green “Try Another” button in the top right corner at least two or three times to complete
additional versions of these questions for more practice. You should keep using that button until doing these problems feels straight
forward and easy, and then come back after a week or so of doing other stuff and try again to make sure it is still just as easy for
you.
Theoretically Easier Difficulty Problem
When adding or subtracting complex numbers, you can just add (or subtract) the individual parts independently.
Simplify the following into form:
Theoretically Medium Difficulty Problem
When multiplying complex numbers, you want to distribute out the terms, like you are multiplying two binomials.
Don’t forget that , so the two imaginary parts being multiplied together give you a real number!
Simplify the following into form:
Theoretically Harder Difficulty Problem
When simplifying division of complex numbers, you need to multiply the top and bottom of the fraction by the complex
conjugate of the bottom number.
To get the complex conjugate of a complex number, you just need to flip the sign in front of the imaginary number.
In this case, we want to multiply the top and bottom by , so we want to compute: .
Precalculus Algebra