2
QuizMultiple Choice

Add and Subtract Complex Numbers — Quiz

Question 2 • Math 4

Consider z sub 1 is equal to 4 minus 4 square root of 3 i and z sub 2 is equal to negative 16 i What is z sub 1 minus z sub 2 ?

Answer
A
4 minus 12 square root of 3 i
B
4 plus 4 open paren square root of 3 minus 4 close paren i
C
4 minus 4 open paren square root of 3 minus 4 close paren i
D
4 plus 12 square root of 3 i

Explanation

Subtract the complex numbers by subtracting their real and imaginary parts: (4 − 4√3i) − (−16i) = 4 + (16 − 4√3)i. Factoring 4 from the imaginary part gives 4 − 4(√3 − 4)i, which is choice C.

AI-written and checked against the verified answer.

Previous
Next