Downloading
If you don't have ROOT yet, download it! We have binaries but you can also build it yourself.
Environment Variables
ROOT expects ROOTSYS, PATH and LD_LIBRARY_PATH to be set correctly. If which root does not show anything then use the script that does all of that:
source wherever/root/is/bin/thisroot.sh
Starting ROOT
Now you can start ROOT using root or root -l to suppress the logo. See root --help
for more options.