I kinda doubt it will survive. You're plant wont be able to take up enough moisture to live, that's what the roots do. You should have drained all water and nutes from your aerogarden, and replaced with clean fresh water, and changed that out at least once. If your plant was gonna survive it would demonstrate it after the second rinsing. Then refill with clean fresh water plus nutes - 1/4 strength. Cutting the root off the plant sealed it's doom. Sorry

N