SOLUTION: What is 2/3+i equivalent to?? I've forgotten complex number operations!

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Question 335421: What is 2/3+i equivalent to?? I've forgotten complex number operations!
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression.


Multiply the fraction by .


Combine the fractions.


Distribute.


FOIL the denominator.


Multiply.


Replace with -1.


Rewrite -(-1) as +1


Combine like terms.


Break up the fraction.


Reduce.


So .


So the expression is now in standard form where and

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