Example one: after al-Fatihah and Ameen, the worshipper recites all of the short Surah al-Ikhlas. Example two: after al-Fatihah and Ameen, three short verses from another surah are recited.
Both retain al-Fatihah first and added recitation second. Reciting only the added surah while omitting al-Fatihah is not what “a surah with it” describes.