I believe the original requester wanted no grass, not short grass. In the winter, vegetation on the driveway contributes together with ice to slipperiness.
Roundup isn't the only option. A second's Googling for grass killer turned up a green (oxymoron given the purpose?) product called BurnOut, a concoction of lemon juice, vinegar, and clove oil. Have no idea how well or how long it would work, since clove oil is volatile and the acids would rinse away. Or, there's another synthetic product called Preen, and another one called Remuda and another one called Spectracide. Plain old salt would probably be the "greenest" long lasting option. Or have some fun every few months with a Dragon's Breath torch and a tank of propane.
In regards to Roundup, please look into the kind of company you're promoting. Terminator technology is not good for the Earth, I don't care if you're liberal or conservative. Lots of abuses by Monsanto--I will never support them or buy another one of their products.
That said, I'll try the salt and the magic sand, both sound good!
I live in Montreal Canada, and had the same problem.
HOME DEPOT here sells a fine sand called MAGIC SAND, you spread it on your bricks, brush it on the bricks so it fills in between them, then use a hose with a fine mist spray of water to wet the sand, it then hardens like a joint compound and stops all weed growth.
I save used water from boiling vegetables and pasta, and pour on them. Save energy and eco friendly.
Editor's Note: Make sure it is still very hot.
Plant No-Mow grass seed in the cracks and then you won't have to do any maintenance. I heard Barbara Damrosch talk about No-Mow lawns on Martha and I found listings of it when I searched online. Treehugger has an article about No-Mow seeds. I won't use boiling water because I hate boiling worms in the soil underneath. Many of God's creatures, grow in soil! YIKES!
I also use boiling water. It doesn't harm the earth and has no lingering residue. It works on every weed or plant.
I think roundup now has a kind that will prevent weeds from returning for up to 3 months. I saw it at wal-marts.
If your looking for a chemical weed killer use Roundup it will kill anything it touches right down to the root. Follow directions on bottle, don't use if expecting rain.
If you are looking for something with the same effect as roundup, but not harmful to children or animals, use vinegar and salt. Buy a 4 litre jug of vinegar, take out 1 cup of vinegar add 1 cup of salt to the jug and shake. When the salt has dissolved you can add the cup of vinegar back to the jug and shake again.
This will kill anything down to the root also. Make sure you don't spray any plants you wish to keep.
I use boiling water straight from the kettle. If you get the boiling water on the area before there are seeds from the grass, it will kill the grass longer. But most seeds are air borne so don't expect this or any method to work forever. Just take the kettle out with a long extension cord, a hose to fill it and you are off and running!
I've always used plain salt in cracks to prevent growth of weeds. Don't put the salt near anything that you do want to grow, though, because it will kill plants, too.
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