The question is this:

$\displaystyle |(2+i)(cos\frac{\pi}{6}-i sin\frac{\pi}{6})|$

I'm not sure if what I am doing is right...

My next step was this:

$\displaystyle |(2+i)(\frac{\sqrt3}{2}-\frac{i}{2})|$

But I'm not sure what to do after. Is it just simple algebra? Because if it is, I did something really weird and didn't get the answer, which is supposed to be $\displaystyle \sqrt5$

Any help would be wonderful! Any working would be great, to see where I went wrong.