6
QuizMultiple Choice

Complex Numbers — Quiz

Question 6 • Advanced Algebra: Concepts and Connections

What is the square root of negative 16 ?

Answer
A
4 i
B
8 i
C
negative 4 i
D
negative 8 i

Explanation

Since i² = −1, (4i)² = 16i² = −16. The principal square root is 4i, so the correct choice is 4 i. (The other number, −4i, also squares to −16, but it is not the principal square root.)

AI-written and checked against the verified answer.

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