So in my case:
arg(z^{1/2})=\frac{1}{2}arg(z)
Then if we take z^{1/2}=n+i and set the argument of each side equal, we have:
arg(z^{1/2})=arg(n+i)
\frac{1}{2}\frac{\pi}{3}=arctan(\frac{1}{n})
\frac{\pi}{6} = arctan(\frac{1}{n})
Taking the tangent of both sides...
Homework Statement
z = (n + i)^{2}
n is a positive real number, and arg(z) = \frac{\pi}{3}
Find the value of n.
The attempt at a solution
I am reviewing old problem sets from years past, and came across this problem that appears pretty simple. I have my old answer as n=\sqrt{3}...