Rinse broccoli. Put enough water in pot to cover the bottom. Add broccoli and salt. Cook over medium until tender. Use left over water in soup.
In three quart sauce pan melt butter add flour, and salt and pepper to taste, then slowly add milk, half & half and broth. Cook on low medium, stirring constantly and allow it to thicken. Add broccoli, first put part of broccoli in blender to mince, and heat thoroughly