The number of distinct $n$th roots of a non-zero complex number is:

Question

Accepted Answer

B. $n$, equally spaced on a circle of radius $r^{1/n}$ at origin

A non-zero complex number has exactly $n$ distinct $n$th roots, on a circle of radius $r^{1/n}$, separated by $2\pi/n$.

Answer

$1$, since each number has only one root in $\mathbb{C}$ chart

Answer

$2$, since complex roots always come in conjugate pairs

Answer

$n^2$, since $n$ roots are repeated with multiplicity $n$ each