Cook diced chicken on medium heat until done.
Boil pasta according to directions on package.
Add broccoli during last 2-3 minutes of pasta cooking time.
To make the sauce, melt the butter in a large skillet over medium heat. Add flour and stir for 1 min. Slowly whisk in milk and chicken broth, stir until thick and bubbly. Stir in cheese until melted.
Combine pasta, broccoli, and chicken to the cheese sauce. Mix together.
Super simple recipe even a college student can make!