How to install RSAT on Windows 10
Installing Remote Server Administration Tools on Windows 10 is a bit challenging at times. At least, it was for me: The installation would start, then hang, then fail with "critical error: 2147549183". Here's how I got it to run.
Language pack. I have a German installation of Windows 10, and Google suggests I need the English language pack. I suspect this info is outdated, but I installed it anyway. Search in the start menu for "Sprache auf diesem Gerät hinzufügen", then add English (United States).
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Start the installation up to the point where you accepted the license and everything, and it says "Update <weird ID> is being installed".
The installer now hangs. From C:WindowsLogsDISMdism.log I got the impression it is waiting for some resource which it can't get access to (the log talked about some resource being busy).
Hit the reset button. Initially I had intended to clear whatever locks the installer needs by rebooting, but I couldn't reboot because it hung, so I just hit reset. What I hadn't anticipated then was that...
When rebooting, Windows notices there's still an update in the queue and applies it.
Now you're good to go.