our garden was full of it when we bought our flat. we did what mangoose did, trampled/crushed it and then nuked it with triple doses of glyphosate and other random chemicals people suggested. killed the top growth then we dug the whole garden out to around a foot deep removing ANY roots or bits of roots we found. we pulled out about 3 black bin liners of roots!!! 😯 sounds full on but it wasn’t too bad as at its not too big and at the same time we were taking out tree stumps/old shrubs/old air raid shelter wall etc and needed to get the levels down anyway as it was about a foot higher than the path/house floor level
we’ve since turfed it and got borders around it with new plants/veg’s and trees which are all doing fine. however the marestail is still coming back, bit by bit. luckily not in the lawn itself just in the borders – we just pull it out and dig the root up every time we find some. after speaking to plenty of gardeners/doing research its apparent it’ll never go away, and not helped by the fact next door neighbours garden is a jungle of marestail so without killing theirs off no doubt we’ll never get rid of the epicentre of the problem (theirs is a rented house – occupier and landlord have no interest in sorting it or even letting us take care of it!)
i’ve heard a good way of getting totally rid of it is to cover the affected area in black tarp to cut out sunlight for a year or so – obviously not great for kids/bbq’s. the main thing with it is any part of the root will grow into a full plant, and it survives composting too so important to dig it all out and burn/plastic bag and bin it