> How smart do you have to be to get a degree?
Not especially, what you have to be is hardworking and committed. You don't even need to show significant improvement; just an understanding of the subject material.
Of course this gets less true as you go up the degrees. (Batchelors requiring a broad rote understanding, Masters requiring a more detailed understanding and PhD requiring some sort of novelty that pushes the field forward).
However there's a saying: "Hard work beats talent when talent doesn't work hard".
I have lived this.
My sister is not smart. That may seem unkind but she would be one of the first to admit this. Things do not come to her easily, she has a hard time recognising patterns and lacks a certain level of "common sense". She is extremely motivated though. Thorough and hardworking.
I have had the fortune of being quite gifted, I test well and have a great propensity to solve novel puzzles. I, however, procrastinate and am easily distractible.
She has a degree, I do not.
Intelligence had nothing to do with it. Being hardworking did.