It won't do a thing to the Bermuda grass roots.
The only things I've found that actually kills Bermuda grass roots is one of the modern systemic weed killers that soaks into the growing grass and is carried down to the roots by the plant.
As for the getting rid of Bermuda grass without using these modern things, the only way to do it is to dig the roots out. They go deep too and if even a 1/2" long piece of root is left behind, it will grow and send up new grass and you'll be back to ground zero.
The only thing good I can say about Bermuda grass is, it can go for months without water and after a good rain or soaking with a hose, it will come back in force.
We haven't had any rain for over 3 months and to help out with the drought, I didn't water my side yard at my house. Then, I decided I was tired of seeing a area covered with long dead Bermuda grass stubble so I watered it with a sprinkler. A week later, the whole area is now covered with green grass.