Clean the chicken drumsticks and place them in a large pot with cold water. Bring to a simmer over medium heat, skimming off any foam that rises to the surface.
Peel the carrots, parsnips, celery root, and kohlrabi, and cut them into large pieces.
Add the prepared vegetables, onion, garlic cloves, and Brussels sprouts to the simmering broth. Season with salt and pepper to taste.
Cook over medium heat for 1.5-2 hours, or until the chicken and vegetables are completely tender.
Towards the end of the cooking time, remove the chicken drumsticks and vegetables from the soup. Strain the broth to remove any solids.
Cook the soup noodles (such as vermicelli) in a separate pot according to package directions. Add the cooked noodles to the soup just before serving.
Serve the soup garnished with the cooked chicken drumsticks and vegetables, and a sprinkle of freshly chopped parsley.
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