Cut the broccoli into florets and slice the stems that are not too woody. Set aside. DIssolve the chicken base in one cup water, and set aside.

Heat a large pot and put in the olive oil. Saute the onion, garlic, and carrots until the onion is translucent. Add the broccoli, then add the chicken base and the rest of the water. Turn the heat down and simmer until the broccoli is very soft.

Take a potato mashers and mash the broccoli in the pan, then use a hand blender the smooth it out, or put it into a blender and return it to the pot.

Add the cream and stir, then add the cheese and stir continuously until all the cheese is melted. Serve hot.