Help! I do not know what this is and what I should do

Hi guys, I been really neglecting my lawns for a while and I'm wondering what I should do for rest of the summer.

So there is this weed all lover my lawn and I been trying to pull out the roots only to realize there are massive root network under each one of these things. They seem to interconnect and I'm breaking my back pulling these things out.

https://imgur.com/a/LfRc9P6

I been looking over the internet and I cannot identify what the hell these things are and I have no idea what I should do since the roots are so deep and everywhere.

Thanks a lot