Peel the carrots, potatoes, and celery root, then chop them into smaller pieces. Thoroughly wash the leek and slice it. Peel and finely mince the garlic.
In a large pot, melt the butter over medium heat. Add the leek and garlic. Sauté for 3-4 minutes, until softened.
Add the chopped carrots, potatoes, and celery root, then sprinkle with the fresh rosemary leaves. Sauté for another 5 minutes to intensify the flavors.
Pour in the vegetable broth and bring to a boil. Reduce the heat and simmer for 25 minutes, until the vegetables are completely tender.
Use an immersion blender to purée the soup until smooth and creamy. Then, add the heavy cream and stir well.
Season with salt and black pepper, then cook for another 2-3 minutes to allow the flavors to meld.
Serve hot, garnished with toasted croutons and a sprig of fresh rosemary.
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