nth roots of a complex number for JEE

Formula

\[z_k=r^{1/n}\left[\cos\left(\frac{\theta+2k\pi}{n}\right)+i\sin\left(\frac{\theta+2k\pi}{n}\right)\right],\quad k=0,1,\dots,n-1\]

Variables: \(z=r(\cos\theta+i\sin\theta)\), \(n\in\mathbb N\)

Conditions: \(r>0\)

Finding all roots of complex numbers.