SOLUTION: Which of the following represents the multiplicative inverse of the complex number 2-i ? a. 2+i b. i-2 c. (2+i)/3 d. (2-i)/3 e. (2+i)/5

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Which of the following represents the multiplicative inverse of the complex number 2-i ? a. 2+i b. i-2 c. (2+i)/3 d. (2-i)/3 e. (2+i)/5      Log On


   

Question 403316: Which of the following represents the multiplicative inverse of the complex number 2-i ?
a. 2+i
b. i-2
c. (2+i)/3
d. (2-i)/3
e. (2+i)/5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Reciprocate 2-i to get


So the answer is choice E