35
QuizMultiple Choice

N/A — Exam

Question 35 • Mathematics II

Which expression is equivalent to square root of negative 108 minus square root of negative 3 ?

Answer
A
7 i square root of 3
B
8 i square root of 3
C
5 i square root of 3
D
6 i square root of 3

Explanation

Use √(−a) = i√a for positive a. Then √(−108) − √(−3) = i√108 − i√3 = 6i√3 − i√3 = 5i√3. So the equivalent expression is 5i√3, choice C.

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