ACT Math · Complex numbers
What is (6+2i)/(i)?
What is ?
Answer and explanation
Answer: H: 2 - 6i
Multiply the numerator and denominator by : , choice H. Equivalently, since , the quotient is . Choice G () loses the sign of the imaginary part. Choice J () has both signs reversed, which happens if you forget to divide by . Choice F () is the original numerator and was not divided at all. Check by multiplying the answer by : . Dividing by is the same as multiplying by .
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