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Question
Write the following in the rectangular form:
`bar(3"i") + 1/(2 - "i")`
Solution
`bar(3"i") + 1/(2 - "i") = - 3"i" + 1/(2 - "i") xx (2 + "i")/(2 + "i")`
= `- 3 "i" + (2 + "i")/((2)^2 - ("i")^2`
= `- 3"i" + (2 + "i")/(4 + 1)`
= `- 3"i" + (2 + "i")/5`
= `(- 15"i" + 2 + "i")/5`
= `(2 - 14"i")/5`
= `2/5 - 14/5 "i"`
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