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Trim the Brussels Sprouts and cut them in half.
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Peel the carrots and dice them into pieces.
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peel and dice the onion and garlic cloves.
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Heat the olive oil and butter in a large pot.
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Add the onions and sauté until transparent.
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add the garlic and sauté for 1 minute or until it releases its aroma.
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Add the Brussels sprouts and carrots and sauté.
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Cook for five minutes, stirring frequently.
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kosher salt and freshly ground pepper to taste.
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Add the vegetable broth to the pot.
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Bring to a boil. turn down the heat and let simmer for 15 minutes.
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Season to taste with kosher salt and freshly ground black pepper.
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Distribute the soup between four bowls.
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Top each portion with some walnut kernels and a splash of walnut oil.