SOLUTION: If i=square root of -1 and a and b are non-zero real numbers, what is 1/(a+bi)?

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Question 390122: If i=square root of -1 and a and b are non-zero real numbers, what is 1/(a+bi)?
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!




Multiply by the conjugate of the denominator over itself:



Multiply numerator and denominator:



FOIL out the bottom and simplify:





replace iČ by (-1) and simplify:





If you want to write it in the form A+Bi,



Edwin
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