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Grade 12th passTrigonometry

What is the value of (1+i)5 +(1+i)5 , where i is iota?

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Profile image of Adarsh
6 Years agoGrade 12th pass
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2 Answers

Profile image of Arun
6 Years ago
Dear Adrash
 
(1 +i)^5 = ((1+i)^2)^2 ( 1 + i)
 =( – 2i)^2 (1+i) = – 4(1 +i) = – 4 – 4i
 
similarly (1 – i)^5 = – 4 + 4i
 
hence answer will be – 8