5
QuizMultiple Choice

Add and Subtract Complex Numbers — Quiz

Question 5 • Math 4

What is the sum of square root of 3 minus i and 2 minus square root of 3 i ?

Answer
A
open paren 2 plus square root of 3 close paren plus open paren 1 minus square root of 3 close paren times i
B
open paren 2 plus square root of 3 close paren minus open paren 1 plus square root of 3 close paren times i
C
open paren 2 plus square root of 3 close paren minus open paren 1 minus square root of 3 close paren times i
D
open paren 2 plus square root of 3 close paren plus open paren 1 plus square root of 3 close paren times i

Explanation

Add the real parts and the imaginary parts separately. The real parts give √3 + 2 = 2 + √3, and the imaginary parts give −i − √3i = −(1 + √3)i. Therefore, the sum is (2 + √3) − (1 + √3)i, which is choice B.

AI-written and checked against the verified answer.

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