
nachholen
to make up
To do, experience, or compensate for something at a later time that one missed or failed to do.
Da er krank war, muss er die Klassenarbeit nächste Woche nachholen.
Since he was sick, he has to make up the class test next week.
to make up
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to make up
To do, experience, or compensate for something at a later time that one missed or failed to do.
Da er krank war, muss er die Klassenarbeit nächste Woche nachholen.
Since he was sick, he has to make up the class test next week.
'Nachholen' (to make up) is a separable verb. The prefix 'nach-' goes at the end in main clauses. In subordinate clauses and in the infinitive, the verb stays together.
Ich hole den verpassten Unterrichtsstoff am Wochenende nach.
I will make up the missed lesson material over the weekend.
The verb is made up of the prefix 'nach-' (later, afterward) and 'holen' (to fetch/get). The meaning is therefore logical: you 'get' something you missed at a later time.
Wir müssen unser Treffen unbedingt bald nachholen.
We absolutely have to make up our meeting soon.
You can make up many different things. Common combinations are: 'Schlaf nachholen' (to catch up on sleep), 'eine Prüfung nachholen' (to make up an exam), 'einen Termin nachholen' (to make up an appointment), 'den Urlaub nachholen' (to make up for a vacation), or 'Hausaufgaben nachholen' (to make up homework).
Nach der anstrengenden Woche muss ich am Wochenende dringend Schlaf nachholen.
After the exhausting week, I urgently need to catch up on sleep over the weekend.
to catch up / obtain
Einholen and nachholen can both involve making up a deficit in work or knowledge. Nachholen means doing something that was missed later, whereas einholen means making up the gap relative to an existing lead. Someone who works on a missed assignment nachholt it; someone who is back at the same level has eingeholt the deficit.

Am Wochenende musste Jana die verpassten Übungen nachholen.
Jana had to make up the exercises she had missed over the weekend.
Mit einem intensiven Lernwochenende konnte Jana den Rückstand im Kurs einholen.
With an intensive weekend of studying, Jana was able to catch up in the course.