True. For three terms $1+i-i=1$, all of which are $4^{th}$-root of $1$. For two terms you can also write $-\frac{1+\sqrt{3}}{2}-\frac{1-\sqrt{3}}{2}=-1$, all of which are $6^{th}$-root of $1$. And so on and so on…