Values `(s)(-i)^(1/3)` is/are `(sqrt(3)-i)/2` b. `(sqrt(3)+i)/2` c. `(-sqrt(3)-i)/2` d. `(-sqrt(3)+i)/2`

(sqrt(3+4i)+sqrt(3-4i))/(sqrt(3+4i)-sqrt(3-4i))=

If z=(-1)/(2)+i(sqrt(3))/(2) , then 8+10z+7z^(2) is equal to a) -(1)/(2)-i(sqrt(3))/(2) b) (1)/(2)+isqrt(3)/(2) c) -(1)/(2)+i(3sqrt(3))/(2) d) (sqrt(3))/(2)i

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

sqrt(3)+(sqrt(3)-i2)-(3-i2)

The value of ((1+sqrt(3)i)/(1-sqrt(3)i))^(64)+((1-sqrt(3)i)/(1+sqrt(3)i))^(64) is

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

Prove that ((i-sqrt(3))/(-i+sqrt(3)))^(200)+((i-sqrt(3))/(i+sqrt(3)))^(200)=-1

((sqrt(3)+i sqrt(5))(sqrt(3)-i sqrt(5)))/((sqrt(3)+sqrt(2)i)-(sqrt(3)-i sqrt(2))

((3+i sqrt(5))(3-i sqrt(5)))/((sqrt(3)+sqrt(2)i)-(sqrt(3)-i sqrt(2)))

sqrt(3i)+sqrt(-3i)=(i)+-2sqrt(3)(ii)+-sqrt(6)(iii)3(iv)3i