SOLUTION: What is the reciprocal of 2+i? Please solve and explain how to get the anwser

Algebra ->  Algebra  -> Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: What is the reciprocal of 2+i? Please solve and explain how to get the anwser      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 233420: What is the reciprocal of 2+i?
Please solve and explain how to get the anwser

Answer by Alan3354(21550) About Me  (Show Source):
You can put this solution on YOUR website!
What is the reciprocal of 2+i?
------------
It's 1/(2+i)
For some reason, people don't like the "i" in the denominator.
Multiply NUM and DEN by its conjugate.
-----------
= (2-i)/(2+i)*(2-i)
= (2-i)/(4+1)
= (2-i)/5