With guitar chords, and of course music in general, the root of a chord can be defined as the note that shares the same letter name as the chord, seeing that it would be the concrete base of a chord itself. It is linked to harmonic thinking, that is, to the idea that vertical aggregates of notes form a single unit, a chord. Hope this helps, and have a nice day!
It cannot be A or F. He was not born in Germany, he was born in malaga, span, in 1881. And he was the most influential artist of the 20th century, not the 18th.