Ответ:
(5+i)/(√5 +2i) =(5+i)*(√5 -2i)/(√5 +2i)*(√5 -2i) =(5√5 -10*i +(√5)i-2i²)/(√((5)² -(2i)²) =
(5√5 +2 +(√5 -10)*i)/(5-4i²) =(5√5 +2 +(√5 -10)*i)/9 =(5√5 +2)/ 9+ ((√5 -10)/9) i.
както так
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Ответ:
(5+i)/(√5 +2i) =(5+i)*(√5 -2i)/(√5 +2i)*(√5 -2i) =(5√5 -10*i +(√5)i-2i²)/(√((5)² -(2i)²) =
(5√5 +2 +(√5 -10)*i)/(5-4i²) =(5√5 +2 +(√5 -10)*i)/9 =(5√5 +2)/ 9+ ((√5 -10)/9) i.
както так