How Square are the Cube Roots of Unity?
Algebra
Level
4
\[\Large{z^3=1}\] Let \(z_1,z_2,z_3\) be the cube roots of unity satisfying the equation above. If \(a\in\{1,2,3\}\) and \(b\in\{1,2,3\}\),when is it true that \(z^{2}_a= z_b\) ?
by
Brandon Stocks