Salt and vinegar can kill bamboo, but neither provides an efficient way to permanently rid bamboo from your yard.
How do you kill bamboo roots with salt?
Spread the salt around the area where the bamboo lives. It doesn't have to be a thick layer -- just make sure the area is well-covered. Alternatively, you can dilute a cup or more of salt in a gallon of water and water the affected area. Cut the bamboo growth down as much as you can with a mower or machete.
What will kill bamboo?
Kill Bamboo With Vinegar
One of the best organic methods to kill bamboo is with distilled white vinegar. Vinegar is highly acidic and will kill new growth. If your bamboo grows in clumps, then you don't have to worry about it having underground rhizomes.