Question:
Whether after the Fajr prayer one should recite Surah Al-Ikhlas, Surah Al-Falaq, and Surah An-Nas three times?
Answer:
There is a narration about reciting these protective chapters after every prayer, reported by Uqbah ibn Amir(RA). But the chain includes a narrator named Hunayn ibn Abi Hakim, who is considered weak by hadith scholars. Because of that weakness, the narration cannot be relied upon as a firm instruction.
Therefore, while reciting these chapters is beneficial and part of general remembrance, the specific claim that they must be recited three times after every prayer is based on a weak report.