Directions Trim the stems off the broccoli heads and chop into small florets. In a large pot over medium heat، combine the butter and onion and sauté until translucent. Add the flour and stir until the mixture lightly browns. Stir in the half-and-half and mix until the contents reach a simmer. Turn the heat to low and add the stock. Simmer for 5-10 minutes. Mix in the broccoli، carrots، salt، pepper، and nutmeg. Simmer for 10-15 minutes. Add the cheese and stir until it melts and combines with the other ingredients. Enjoy!