Peel the celery root and potatoes, then dice them into small cubes. Peel and finely chop the onion and garlic.
In a large pot, melt the butter over medium heat. Add the onion and garlic and sauté until translucent, about 3-4 minutes.
Add the diced celery root and potatoes, and cook for another 5 minutes, stirring occasionally, to develop the flavors.
Pour in the vegetable broth and bring to a boil. Reduce the heat to medium and simmer for 20 minutes, or until the vegetables are completely tender.
Use an immersion blender to purée the soup until smooth. Stir in the heavy cream and ground nutmeg until well combined and creamy.
Season with salt and black pepper to taste. Cook for an additional 2-3 minutes to allow the flavors to meld.
Serve hot, garnished with toasted croutons and a drizzle of extra heavy cream, if desired.
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