SOLUTION: how do i show that 3+2i; 3-2i/13 is multiplicative inverse of one another?

Question 265771: how do i show that 3+2i; 3-2i/13 is multiplicative inverse of one another?
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!
how do i show that 3+2i; 3-2i/13 is multiplicative inverse of one another


Multiply them together and see if you get 1, the multiplicative identity,
for an answer.

If you get 1, then they are multiplicative inverses of each other.
If you get something other than 1 then they are not.



Put the first one over 1:



Multiply the tops and the bottoms:



FOIL out the top:







Since  replace  by 









We got 1, the multiplicative identity so that proves 
that they are multiplicative inverses of each other.

Edwin

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