ACT Math · Complex numbers
What is |3 - 4i|?
What is ?
Answer and explanation
Answer: H: 5
The modulus of is the distance from the origin in the complex plane: . For it is , choice H. This is the familiar 3-4-5 right triangle. Choice J () adds the absolute values of the parts instead of using the Pythagorean theorem. Choice G () is with the sign dropped, and choice F () is . A modulus is a distance, so it can never be negative, which rules out choice F immediately.
More Complex numbers questions
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