Do the operation and express the answer in a + bi form.
A)-17i
B)-85i
C)-17
D)17i
E)17

Question

Do the operation and express the answer in a + bi form. ​  ​
A)-17i 
B)-85i 
C)-17 
D)17i 
E)17

Quizplus · Accepted Answer

To perform this operation, we need to first simplify the expression under the radical sign:
11+6i-1-5i = 10+i
Taking the square root of this expression, we get:
√(10+i) = (√2+i√5)/2
Multiplying this expression by i, we get:
i(√2+i√5)/2 = (i√2-i^2√5)/2 = (√5)i/2
Therefore, the answer is 17i, which corresponds to choice D.

Do the Operation and Express the Answer in a