Answer the question.
-On which line do the square roots of $- \mathrm { i }$ lie?
A) The line $y = x$
B) The line $y = - x$
C) The line $y = 0$.
D) The line $y = 1$

Question

Quizplus · Accepted Answer

The square roots of $-i$ can be found using the polar form of complex numbers. $-i$ can be represented in polar form as $e^{i(3\pi/2 + 2k\pi)}$, where $k$ is an integer. Taking the square root gives $e^{i(3\pi/4 + k\pi)}$, which corresponds to points on the complex plane with arguments $3\pi/4$ and $7\pi/4$. These points lie on the line $y = -x$.

Answer the Question −i- \mathrm { i }−i Lie? A) the Line

Answer the Question $- \mathrm { i }$ Lie?
A) the Line