Home
Class 12
MATHS
[(-1+i sqrt(3))/(2)]^(6)+[(-1-i sqrt(3))...

`[(-1+i sqrt(3))/(2)]^(6)+[(-1-i sqrt(3))/(2)]^(6)+[(-1+i sqrt(3))/(2)]^(5)+[(-1-i sqrt(3))/(2)]^(5)` is equal to

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Solved Examples And Exercises|246 Videos

Similar Questions

Explore conceptually related problems

((-1+i sqrt(3))/(2))^(6)+((-1-i sqrt(3))/(2))^(6)+((-1+i sqrt(3))/(2))^(5)+((-1-i sqrt(3))/(2))^(6)

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

show that ((sqrt(3)+i)/(2))^(6)+((i-sqrt(3))/(2))^(6)=-2

(sqrt(3)+i)/((1+i)(1+sqrt(3)i))|=

If i=sqrt(-)1, then 4+5(-(1)/(2)+(i sqrt(3))/(2))^(334)+3(-(1)/(2)+(i sqrt(3))/(2))^(365) is equal to (1)1-i sqrt(3)(2)-1+i sqrt(3)(3)i sqrt(3)(4)-i sqrt(3)

the value of ((1+i sqrt(3))/(1-i sqrt(3)))^(6)+((1-i sqrt(3))/(1+i sqrt(3)))^(6) is

If i = sqrt(-1) , then 4 + 3 (-(1)/(2) + i(sqrt(3))/(2))^(127)+5(-(1)/(2)+i(sqrt(3))/(2))^(124) is equal to

Prove that 4+5(-(1)/(2)+(i sqrt(3))/(2))^(334)+3(-(1)/(2)+(i sqrt(3))/(2))^(335)=i sqrt(3)