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When I frag shrooms I just take scissor and cut it as close the base as possible. Try and do it fast though.. Once you touch it it will start shrinking and be harder to cut.
Then I put it in to one of those specimen containers you hang on the tank and add some lr rubble as well. In about a week (or less) it usually takes hold of one of the pieces.
Or you can take a piece of tool (lace) and lightly wrap the mushroom to a rock and let take hold like that.
If you don't want to frag it, you can dig under the "root" of the mushroom's foot, but this involves taking the rock out of the water to do it effectively and cleanly. The loose mushroom will take a foothold somewheres else if you let it free float in the tank. Lace it down like Brian said...
i take shrooms of the rock with my dremel & tile bit
i just cut underneath & take the piece of rock with it,
cuz i just hate the way they smell when u cut them.