Bought a house last winter. It has a good size garden in the back which I wanted to plant up. A few weeks ago I went out and dug out a bunch of the weeds pictured below. I dug as deep as possible to get as much of the roots as I could.
The weather started turning cold again, so I waited to plant. Now the garden is full of this weed again. What is it and what can I kill it with that won't affect the growth of the vegetables I hope to plant in the next week or so. If it helps, I am in Ohio.