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{[((i+sqrt(3))/(2))^(100)+((i-sqrt(3))/(...

{[((i+sqrt(3))/(2))^(100)+((i-sqrt(3))/(2))^(100)=?],[[" (a) "1," (b) "-1," (c) "0]]

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((-1+sqrt(3)i)/(2))^(100)+((-1-sqrt(3)i)/(2))^(100)=

(2/(i+sqrt(3)))^(100)+(2/(i-sqrt(3)))^(100)=

Prove that ((i+sqrt3)/2)^100+((i-sqrt3)/2)^100 +1=0.

The value of (i+sqrt(3))^(100)+(i-sqrt(3))^(100)+2^(100) is

((-1-i)/(sqrt(2)))^(100) equals

(sqrt(3)-i sqrt(2))/(2sqrt(3)-i sqrt(2))

What is the value of ((-1+i sqrt(3))/(2))^(3n)+((-1-i sqrt(3))/(2))^(3n), where i=sqrt(-1)?