Sligh1 definitely knows the best way. I am about spending as little money as possible but nuking it would definitely get you a better burn.
Farming, plots & everything we do with planting is interesting..... There's 20 solutions to go about every situation. Some better than others. I think I use the "9 ways to skin a cat" when talking plots, farming, spraying, native grasses, WHATEVER everytime I help a buddy out.
Absolutely correct above as options of how to go about it, Tim is right on, he'd have a great plot too. Lot of ways to do this. And very importantly.... There may be 20 solutions to doing something but only "3 are viable" because of your situation. that's the hardest part about farming.... no 2 scenarios are the same. It really does come down to things like "well, are we dealing with a nasty noxious weed" to "is the soil incredibly erodible where we don't want to tear it up", etc, etc, etc. Sky is the limit. For an EXACT correct answer (well as close as you can get) - a person would have to see every detail to that field, history of what's planted, etc. Is it NHEL - where a guy would want to disc it for example. Which honestly, if it was, that's what I'd do. BUT - a BOMB of variety of herbicides, IMO, covers about 75% of the situations I can even imagine up without seeing your field. Yep, a little more $. Well, heck, I could PROBABLY, MAYBE make it work with round-up alone, MAYBE.... $12/gallon bulk, fall spraying at 3 qts (yes, high rate) and with round-up ALONE on a weedy field depending on what's there, 3 more spring applications - likely at heavy rates. Yep, probably turn out fine. A lot more risks in there as well though. BUT- 9 ways to skin a cat!! That's for sure! Get it fried in fall would be my only "must do" & that's still just my opinion for making a far better seed bed come next fall (yes, I could go on and on, like adding P&K this fall so it breaks down by spring, etc). have fun though!