This sounds like pretty normal growth for a jade plant! If you’d prefer your plant to be a little bushier, let the new branches that are close to the central stem grow out. Otherwise, you can prune them off and plant them like cuttings, though it would be best to do this in the spring.
As for the roots, they’re nothing to be concerned about and can also be trimmed off if you don’t like the look of them. Older jades sometimes grow aerial roots due to environmental stress (water, temperature, lighting)—or for no reason at all. If yours has been exposed to more extreme conditions than usual this summer, this could have spurred on their growth. But, it sounds like you’ve had your plant for a long time, so just continue to care for it as you have in the past and it should be fine!
This sounds like pretty normal growth for a jade plant! If you’d prefer your plant to be a little bushier, let the new branches that are close to the central stem grow out. Otherwise, you can prune them off and plant them like cuttings, though it would be best to do this in the spring.
As for the roots, they’re nothing to be concerned about and can also be trimmed off if you don’t like the look of them. Older jades sometimes grow aerial roots due to environmental stress (water, temperature, lighting)—or for no reason at all. If yours has been exposed to more extreme conditions than usual this summer, this could have spurred on their growth. But, it sounds like you’ve had your plant for a long time, so just continue to care for it as you have in the past and it should be fine!