[" What is "sqrt((1+omega^(2))/(1+omega))" equal to,where is the cube "],[" root of unity? "]

What is sqrt((1+_(omega)^(2))/(1+_(omega))) equal to, where omega is the cube root of unity ?

What is omega^(100)+omega^(200)+omega^(300) equal to, where omega is the cube root of unity?

What is the value of |{:(" "1-i," "omega^(2)," "-omega),(" "omega^(2)+i," "omega," "-i),(1-2i-omega^(2),omega^(2)-omega,i-omega):}| , where omega is the cube root of unity ?

Evaluate the following determinates |{:(1,omega),(omega,-omega):}| where omega is the cube root of unity

What is the value of |(1-i, omega^2,-omega), (omega^2+i,omega,-i), (1-2i-omega^2,omega^2-omega,i-omega)|, where omega is the cube root of unity?

Evaluate |(1, omega, omega^(2)),(omega, omega^(2),1),(omega^(2),1,omega)| , where omega is a cube root of unity.

If 1, omega, omega ^(2) are the cube roots of unity , then w^2=

sqrt(-1-sqrt(-1-sqrt(-1oo))) is equal to (where omega is the imaginary cube root of unity and i=sqrt(-1))