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## Homework Statement

Find the 6th complex roots of √3 + i.

## Homework Equations

z^6=2(cos(π/6)+isin(π/6))

r^6=2, r=2^1/6

6θ=π/6+2kπ, θ=π/36+kπ/3

## The Attempt at a Solution

When k=0, z = 2^1/6(cos(π/36)+isin(π/36)),

When k=1, z = 2^1/6(cos(13π/36)+isin(13π/36)),

When k=2, z = 2^1/6(cos(25π/36)+isin(25π/36)),

When k=3, z = 2^1/6(cos(37π/36)+isin(37π/36)),

When k=4, z = 2^1/6(cos(49π/36)+isin(49π/36)),

When k=5, z = 2^1/6(cos(61π/36)+isin(61π/36)).

I just want help with plotting these roots on the complex plane. So, I am just wondering, are all roots of unity on the complex plane the same, regardless of the equation? By this, I mean, are the position of the roots the same, regardless of what the equation is?