Because its so tough and persistent, most professionals and homeowners use an herbicide (generally glyphosate) to kill it. They spray, strip off the dying sod, irrigate to generate growth of any surviving rhizomes, and then repeat the process at least once (one treatment rarely kills a Bermuda lawn).
Subsequently, question is, does vinegar kill Bermuda grass? If you have patches of Bermuda grass you want to kill, try using natural vinegar instead of chemical-based herbicides. The vinegar will effectively eradicate the Bermuda grass, but it will also kill any surrounding vegetation as well. Fill a garden sprayer with 1 gallon of white vinegar and 1 oz. of liquid dish soap.
Similarly, you may ask, how do you kill Bermuda grass without chemicals?
Sheet mulching to organically organically kill Bermuda grass.
Remove sod.
Take broken down cardboard or heavy newspaper and over lap the flat sections by 3-4 inches covering the entire area of sod you have just removed and then cover this with 4-5 inches of mulch such as bark, wood chips, compost, etc.
How do I keep Bermuda grass out of my garden?
Spray the ends of Bermuda grass stolons along the edge of the flower bed to discourage new growth. Spot-treat with the glyphosate solution Bermuda growing from rhizomes in the bed. Hold the nozzle close to the Bermuda to prevent drift and overspray from poisoning flowers.