Installing the Remote Server Administration Tools normally on a non-Pro-ish edition of Windows will result in an error saying that the update is not applicable to the computer. However, you can still get RSAT installed.
First, expand the MSU file into some preexisting empty directory:
expand RSAT.msu -F:* C:\msuextract
Inside it, you'll find at least one CAB file. These contain the actual update resources. Apply the ones mentioned in
PkgInstallOrder.txt to the computer with DISM:
dism /Online /Add-Package /PackagePath:C:\msuextract\cabfile.cab
It will ask to reboot; do so. You may have noticed an EXE file also from the MSU, which is mentioned in
PkgInstallOrder.txt. If so, run it as administrator if you'd like. When I did that, it exited immediately and I'm not sure if it did anything.
Anyway, once that's all done, the Remote Server Administration Tools should work as expected.