Cheesy Vegetable Chowder Recipe

Name: Cheesy Vegetable Chowder Recipe
Prep time: 15 min
Cook time: 30 min
Total time: 45 min
Cuisine: American
Ingredients: 5 tbsp butter (divided); 3 large carrots (chopped); 3 stalks celery (chopped); 1 yellow onion (diced); 4 cloves garlic (minced); 4 cup low-sodium chicken broth; 3 russet potatoes (peeled and cut into 1/2-3/4 inch cubes); 1 celery root (peeled and cut into 1/4 inch cubes); 2 medium heads broccoli (chopped into florets); 1 small head cauliflower (chopped into florets); 1/4 tsp dried thyme; 1 tsp salt; 1/2 tsp ground black pepper; pinch paprika; pinch cayenne pepper; 6 tbsp all purpose flour; 3 cup milk (1%, 2%, or whole ); 1/2 cup half and half; 2 cup medium cheddar cheese (OR sharp cheddar cheese)