SOLUTION: 3\4+i

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Question 701492: 3\4+i
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3\(4+i)
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Multiply numerator and denominator by 4-i to get:
= (3(4-i))/(16+1)
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= (12-3i)/17
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Cheers,
Stan H.
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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if you have this 3%2F4%2Bi than you have complex number and only what you can do is write real part as decimal number 0.75%2Bi
but, if you have this 3%2F%284%2Bi%29 than you multiply both nominator and denominator by %284-i%29 to eliminate i from denominator

3%2F%284%2Bi%29

3%284-i%29%2F%28%284-i%29%284%2Bi%29%29

%2812-3i%29%2F%284%5E2-i%5E2%29

%2812-3i%29%2F%2816-%28-1%29%29

%2812-3i%29%2F%2816%2B1%29

%2812-3i%29%2F17

12%2F17-3i%2F17

0.706-0.1771i