I don't see the immediate need to modify anything as there's almost 60% free on the disk/volume/partition that is mounted on root.
For further advice more info i needed like the partitioning scheme of the disk, and other disks available.
Your root partition leaves in a LVM volume named LogVol00 , which is part of a volume group named VolGroup00 . Sometimes there's more space not allocated in the group volume. If that's the case, you might not need to add more disk space, but rather extend the lv.
In any case, to give you a more adequate response extra information is necessary.
If you do not mind, please, report back the output of the following commands.
pvs
vgs
lsblk
cat /proc/partitions
Some of these commands must be issue with root privileges.