+0  
 
0
5
2
avatar+611 

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

 Aug 18, 2024
 #1
avatar+8 
0

Simplify the real and imaginary parts of the expression. 

 

2i 

 Aug 18, 2024
 #2
avatar+37146 
+1

I will assume you have this :

(1+i) / ( 2-i) (3+i) )       Multiply the bottom part (the denominator ) to get :

(1+i) / ( 7 -i)                 Now rationalize 

 

(1+i) (7+i)    /   (7-i)(7+i) 

(6 +8i)   / ( 50) 

1/25 ( 3 + 4i)  

 Aug 18, 2024

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