SOLUTION: Simplify the following expressions using your knowledge of imaginary numbers. -1 / 3+ i

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Question 638529: Simplify the following expressions using your knowledge of imaginary numbers.
-1 / 3+ i
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+-1+%2F+%28+3+%2B+i+%29+
Multiply top and bottom by +3+-+i+
+%28+-1+%2F+%28+3+%2B+i+%29+%29+%2A+%28%28+3+-+i+%29+%2F+%28+3+-+i+%29%29+
+%28+-1%2A%28+3+-+i+%29+%29+%2F+%28+%28+3+%2B+i+%29%2A%28+3+-+i+%29+%29+
+%28+-1%2A%28+3+-+i+%29+%29+%2F+%28++9+%2B+3i+-+3i+-+i%5E2+%29+
+%28+-3+%2B+i+%29+%2F+%28+9+-%28-1%29+%29+
+%28+-3+%2B+i+%29+%2F+10+
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Note that +i%5E2+=+-1+
and +-i%5E2+=+%2B1+