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Compute (1 + i)/(2 - i)(3 + i).

 Aug 21, 2024
 #1
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We start off with the expression (1+i)(2i)(3+i)

 

Now, let's expand and simplify the bottom, we get (1+i)(7i)

 

Now let's start the rationalization process. Multiply the top and bottom by the conjugate of the denominator, and we get

(1+i)(7i)(7+i)(7+i)=6+8i50

 

Dividing top and bottom by 2 and canceling out the 2, we get

125(3+4i) which is our final answer. 

 

Thanks! :)

 Aug 21, 2024
edited by NotThatSmart  Aug 21, 2024

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