SOLUTION: (5+6i)/(5-6i)

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Question 57888: (5+6i)/(5-6i)
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2B6i%29%2F%285-6i%29 Multiply the top and bottom by the conjugate of 5-6i, 5+6i.
%285%2B6i%29%285%2B6i%29%2F%28%285-6i%29%285%2B6i%29%29

%2825%2B30i%2B30i%2B36i%5E2%29%2F%2825%2B30i-30i-36i%5E2%29 Remember highlight%28i%5E2=-1%29
%2825%2B30i%2B30i%2B36%28-1%29%29%2F%2825%2B30i-30i-36%28-1%29%29
%2825%2B60i-36%29%2F%2825%2B0i%2B36%29
%28-11%2B60i%29%2F61 Standard form is highlight%28a%2Bbi%29
-11%2F61%2B%2860%2F61%29i All done :-)
Happy Calculating!!!