SOLUTION: 6i/3-5i

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Question 433535: 6i/3-5i
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%286i%29%2F%28%283-5i%29%29
Assume they want you to rationalize the denominator
Multiply by the conjugate of the denominator over itself
%286i%29%2F%28%283-5i%29%29 * %28%283%2B5i%29%29%2F%28%283%2B5i%29%29 = %2818i+%2B+30i%5E2%29%2F%289+%2B+15i+-+15i+-+25i%5E2%29 = %2818i+%2B+30%28-1%29%29%2F%289+-+25%28-1%29%29 = %2818i+-+30%29%2F%289+%2B25%29 = %2818i+-+30%29%2F34
we can reduce the fractions to:
%289i+-+15%29%2F17