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

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Question 233420: What is the reciprocal of 2+i?
Please solve and explain how to get the anwser
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the reciprocal of 2+i?
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It's 1/(2+i)
For some reason, people don't like the "i" in the denominator.
Multiply NUM and DEN by its conjugate.
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= (2-i)/(2+i)*(2-i)
= (2-i)/(4+1)
= (2-i)/5