Hey: I would strongly recommend you do not enter a septic tank to clean roots. Hydrogen sulfide accumulates in the tank and is deadly. Every couple of years someone seems to die around here from entering those tanks and I would really hate to see it be someone on IDO from advice given.
Smart pumpers will enter tanks after the tank is pumped and vented and the proper equipment is used and yes I do know pumper and plumber (1) who enter tanks without the proper equipment but we all know people like that.
Both my brother and I are registered sanitarians and have been in this business for more that 50 years combined and we had the same proplem up in north Wisconsin at our cabin and handled it by digging down to the manhole cover and rings on the inlet side where the roots were entering from, removed the roots on the outside of the tanks/rings, seal the joints (they make a rubber gasket to seal these rings now) and you can tar the lower joint, removed roots out of baffel area through manhole cover on top of the tank (one may have a riser on it and the other is buried)
which in most states is located over the inlet and outlet baffels and removed any trees within about 20 feet depending upon soil types.
Hard to do this this time of year however. Remember just by removing the roots inside they will be back shortly. You have to seal joints where they enter and really only from the outside. Good luck !