SOLUTION: what is an equivalent form of 2/3+ i? my four options are 3-i/4, 3-i/5, 4-i/4 and 4-i/5. please help i have no idea how to do this problem!!!

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Question 80485: what is an equivalent form of 2/3+ i? my four options are 3-i/4, 3-i/5, 4-i/4 and 4-i/5. please help i have no idea how to do this problem!!!
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!


Multiply both top and bottom by the complex conjugate

Multiply

Distribute and foil

Since we can say







Now factor out 2 out of the top and bottom



Simplify

So is equivalent to

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