The hybridization of BrF5 can be determined by the number of lone pairs around iodine and the number of sigma bonds formed between Br and F. Since the central atom iodine has 7 valence electrons out of which 5 electrons form 5 sigma bonds with F atoms and and 2 electrons form 1 lone pair making the stearic number 6 which implies the hybridization of the central atom is sp3d2 (involving one 4s, three 4p and two 4d orbitals) where the geometry is octahedral and the shape is square pyramidal.