There is a nice topological proof which gives a more direct and visual understanding what solving by radicals means. It is quite short but might take some time

There is a nice topological proof which gives a more direct and visual understanding what solving by radicals means. It is quite short but might take some time to absorb the concepts. https://jfeldbrugge.github.io/Galois-Theory/ https://jfeldbrugge.github.io/Galois-Theory/