Do the operation and express the answer in a + bi form.
A)- 13 - 11 i
B)- 13 + 11 i
C)13 + 11 i
D)- 13 + 22 i
E)13 - 11 i

Question

Do the operation and express the answer in a + bi form. 
A)- 13 - 11 i 
B)- 13 + 11 i 
C)13 + 11 i 
D)- 13 + 22 i 
E)13 - 11 i

Quizplus · Accepted Answer

To perform the operation, we need to multiply the complex conjugate of the denominator:

(2+3i)/(1-2i)=(2+3i)/(1-2i) x (1+2i)/(1+2i)

= (2+7i+6i^2)/(1-4i^2)

= (2+7i-6)/(1+8)

= -(4/9) + (11/9)i

Therefore, the answer is 13-11i in the a+bi form, which corresponds to choice E.

Do the Operation and Express the Answer in a