Problem 106 of 7
Verify closure of complex numbers under multiplication using (3i)(4i) = -12.
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
show results remain a+bi.
Hidden until you reveal it.
Operation must be addition or multiplication of complex numbers.
Enter your answer
No answer yet
Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
Walkthrough shown
Full solution stays hidden until you ask for it.
1. Perform the operation or use the general formula.
2. Simplify using i^2=-1 for multiplication.
3. Show the result has real part plus imaginary part.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Examples that leave undefined expressions.