ἐγερθῆναί

The Greek word ἐγερθῆναί contains root of ἐγείρω (egeirō) - which means "to rise" or "to cause to appear" according to the lexicon. The additional reference in this word ἐγερθῆναί indicates the event of rising from the body at the time of death. This is what takes place at the time of death according to Jesus’ teachings – the soul or spirit-person rises from the physical body - leaving the body lifeless.

The word ἐγείρω (egeirō) used in the context of the third day following the death of Jesus' body - when he reappeared to his disciples. He - the spirit - had already left his body at the time of death. This is confirmed by such verses as:
And when Jesus had cried out again in a loud voice, he gave up his spirit. (Matt. 27:50 NIV)
When he had received the drink, Jesus said, “It is finished.” With that, he bowed his head and gave up his spirit. (John 19:30 NIV)