SOLUTION: Question 3 of 10 State the equivalent form of 2/3+i a) 3-a/4 b)3-i/5 c)4-i/4 d) 4-i/5 QuestionImg AnswerImg AnswerImg AnswerImg AnswerImg

Algebra ->  Real-numbers -> SOLUTION: Question 3 of 10 State the equivalent form of 2/3+i a) 3-a/4 b)3-i/5 c)4-i/4 d) 4-i/5 QuestionImg AnswerImg AnswerImg AnswerImg AnswerImg       Log On


   

Question 945687: Question 3 of 10
State the equivalent form of 2/3+i a) 3-a/4 b)3-i/5 c)4-i/4 d) 4-i/5
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Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%2F%283%2Bi%29


%282%283-i%29%29%2F%28%283%2Bi%29%283-i%29%29 Multiply top and bottom by 3-i to rationalize the denominator (3-i is the conjugate of 3+i)


%282%283-i%29%29%2F%289-i%5E2%29


%282%283-i%29%29%2F%289-%28-1%29%29


%282%283-i%29%29%2F%289%2B1%29


%282%283-i%29%29%2F%2810%29


%283-i%29%2F%285%29


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So 2%2F%283%2Bi%29=%283-i%29%2F%285%29