This is the 16th most frequent German word.
nach
"Nach" means "after," "to," "towards," or "according to," depending on context.
In this sentence, "nach" is used as a preposition indicating direction towards a non-geographical location i.e., "home."
Ich gehe nach Hause.
I am going home.
Here, "nach" functions as a preposition indicating time, specifically "after." It connects the activity "eating" with the subsequent action.
Nach dem Essen gehen wir spazieren.
After eating, we will go for a walk.
In this context, "nach" serves as a part of a fixed verb-preposition combination ("nachschauen"), which conveys the act of looking or checking for something.