The remaining root is still able to absorb water. The plant should be able to grow new roots and survive.
I would suggest putting the plant into a pot with your normal medium, getting it moist, then putting the whole thing into an enclosure to keep the humidity up. This might be a very large jar, a terrarium, an old aquarium with a top, or you can put a large plastic bag around the pot and plant. Take care the leaves don't touch the enclosure or they can rot. The high humidity will decrease transpiration loss from the plant, and encourage new root formation.
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