Mike is on-spot. The likelier cause of roots in the sewer pipe is...just the stinking roots.
I had roots in the pipe clogging up the works, even though my house is pier & beam (thank the Almighty!). There is a reason the non-fruitbearing Mulberry in the back yard is one of the happiest trees around.
Rent a powered deal at Home Depot, buy some cheap leather gloves, and go to town on your cleanout. You'll need to do this, whatever the condition of your slab.