WHAT KIND OF SLAB?
If that slab is a post tension slab, or you have to idea, DO NOT CUT INTO THE SLAB until you figure it out. If it is post tension or you don't know, you will need ground penetrating radar or an x-ray done to see where the wires are. If you cut or drill, you could potentially cut through one of them and have a huge mess on your hands. Think cutting a cable on a suspension bridge. A snapped tendon could cause serious injury to you or the slab. And then the slab is shot and you now have a major foundation issue that is not a cheap fix and you must disclose if you try to sell it.
Not sure when you house was built, but they became widely used starting in the 60's and are used when there us expansive and compressive soil conditions that are prevalent in California, Arizona, New Mexico and Texas, but they are in many other areas.