There are adaptations against that, giving even greater tenacity and resilience. There are a whole bunch of plants that rhizomes. Attempting to pull out the root structure, in practice, helps propogate them via root division. Examples of such plants are running bamboo, kadzu, feverfew, bermuda grass, etc.

For these kinds of plants, it’s better to change soil condition: use a technique called “sheet mulching”; it delays things enough to establish a different soil condition and different plants. Even then, it may not work.