SOLUTION: Can you help me simplify 2+3i/8i Thank you

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Question 76586: Can you help me simplify 2+3i/8i
Thank you

Found 2 solutions by checkley75, ankor@dixie-net.com:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
2+3i/8i WE CAN CANCEL OUT THE i FACTORS & WE GET
2+3/8 OR (16+3)/8 OR 19/8

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Can you help me simplify %28%282%2B3i%29%29%2F%288i%29
:
Any expression over itself = 1 so we can multiply it by %288i%29%2F%288i%29
without changing it's value, but it gets rid of i in the denominator
Remember i^2 = -1
:
%28%282%2B3i%29%29%2F%288i%29 * %288i%29%2F%288i%29 = %28%2816i+%2B+24%28i%5E2%29%29%29%2F%2864%28i%5E2%29%29 = %28%2816i+%2B+24%28-1%29%29%29%2F%2864%28-1%29%29 = %28%2816i+-+24%29%29%2F%28-64%29
:
Divide the numerator and the denominators by 8, (reduces the fractions)
-%28%282i+-+3%29%29%2F%288%29 = %28%283-2i%29%29%2F%288%29