It's really easy to root it the installer on this website give you the ability to get it rooted!
http://toppcguides.com/bluestacks-0-8-9-3088-rooted/
Just uninstall your previous version of bluestacks and install this version and you get the latest version of bluestacks with it rooted!
Have fun
Here is a youtube video for proof that it is rooted!
https://www.youtube.com/watch?v=MCewwQB7KqY
http://toppcguides.com/bluestacks-0-8-9-3088-rooted/
Just uninstall your previous version of bluestacks and install this version and you get the latest version of bluestacks with it rooted!
Have fun
Here is a youtube video for proof that it is rooted!
https://www.youtube.com/watch?v=MCewwQB7KqY