Will those roots survive or am I good?

Thanks.

V1 - You might find a garden hand fork useful for those young weeds, looks like a pitch fork but hand sized. You can push it down into the soil next to the weed and loosen soil without turning the soil over - weed and its roots should pull more easily out of your bed. Or, instead of scissors, why don't you pick up something like a dandelion fork, helpful for weeding other than dandelions, a small investment you'll use for years. My own is longer than this one (and almost as old as I am :)):

Thanks!

For years I have used a Old Hickory carving knife on weeds. A quick poke beside the weed, a twist of the handle cutting the weed below surface, and pull. Some with a circle of fiberous roots may need more cuts but be careful. A dull knife is more dangerous than a sharp one because you take more care with the sharp one.