The only way to spawn more than one phisical disk with one filesystem is to use LVM to make a volume that spans more than one physical volume. I'm afraid that for the root filesystem there's no online tool that allows to convert a simple partition into a physical LVM volume and construct from it a logical volume that spawns more than one disk.
On other side, there's a high difference in capacity for the two volumes that makes one think that they will be of different technologies and different speeds, making your system largely unbalanced.
Anyway
In case you insist in making a root filesytem larger and spawn two disks, you first need a third disk with more than 60Gb capacity to make a backup of your root filesystem. First you will install linux on it, and boot from it (you don't need to install everything on that partition, just the tools you are going to use to backup your system and to restore it once finished) You'll then backup your root filesystem by mounting it somewhere in your new system and backup it with tar(1)
, for example.
Once you have freed all your disks, you'll need to repartition your disks for LVM to be installed there. Construct two physical volumes from your new partitions and then a logical volume spawning them all. Once you have this, you can format your new volume with your new root partition, restore your backup and rerun grub-update to restore your boot menu and be able to boot from the new system.
In my opinion, this is a little trickie, existing disks of 1Tb+ at cheap prices, this seems more a homework assignment than an actual professional problem.
Be careful in all steps, as each can completely trash your system.
Good luck!