1) οὗτος προσελθὼν τῷ Πιλάτῳ ᾐτήσατο τὸ σῶμα τοῦ Ἰησοῦ. (Matt 27:58)
This one, after coming to Pilate, requested the body of Jesus.
ᾐτήσατο: First Aorist Middle Indicative 3rd singular, αἰτέω. The augment amounts to a lengthening of the initial alpha, while the epsilon lengthens to eta before the sigma tense formative.
2) ἐπετίμησεν δὲ ὁ Ἰησοῦς τῷ πνεύματι τῷ ἀκαθάρτῳ καὶ ἰάσατο τὸν παῖδα καὶ ἀπέδωκεν αὐτὸν τῷ πατρὶ αὐτοῦ. (Luke 9:42)
Now Jesus warned the unclean spirit and healed the child and returned him to his father.
ἰάσατο: First Aorist Middle Indicative 3rd singular, ἰάομαι. The form is irregular, as you can see since the omicron completely dropped out. You can find the principle part for the aorist middle in the BDAG entry.