Potato & Broccoli Soup

Another recipe taken from MrsErikaMay's cooking blog. It notes that this recipe was taken and modified from Cooking Light.

• ¼ cup flour
• 3 ½ cups (or 2 cans) chicken broth
• 1 small onion, chopped
• 2 potatoes, peeled and cubed
• 1 broccoli "tree", chopped
• 1 cup milk
• ¼ cup half & half
• 1 ½ cup sharp cheddar, shredded (use fresh from a block of cheese for best melting results)

Directions
In a small bowl, whisk together flour and about ½ cup broth. This will be used later to thicken the soup.
In a large stockpot, saute the onion in a small amount of olive oil or butter until soft.
Add in remaining broth, potatoes, and broccoli. Bring to a nice simmer and cook uncovered for about 10 minutes until potatoes are tender. Cover and simmer another 10 minutes.
Pour in flour mixture and stir in. Continue to stir over medium-high heat until soup thickens.
Pour in milk and half & half, stirring to mix. Cook over medium heat to warm through.
Finally, just before serving, add in cheese and stir until melted. Serve hot.