korrekt
correct
In accordance with the facts or rules; right and without mistakes.
Deine Berechnung des Ergebnisses ist vollkommen korrekt.
Your calculation of the result is completely correct.

correct
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correct
In accordance with the facts or rules; right and without mistakes.
Deine Berechnung des Ergebnisses ist vollkommen korrekt.
Your calculation of the result is completely correct.

The meaning of 'korrekt' depends on the context. If it refers to facts, rules, or information, it means 'correct'. If it refers to a person's behavior or clothing, it means 'decent' or 'appropriate'.
Die Adresse auf dem Brief ist korrekt.
The address on the letter is correct.
In the meaning of 'correct', 'korrekt' is often used in contexts like 'eine korrekte Antwort' (a correct answer), 'eine korrekte Aussprache' (correct pronunciation), or 'grammatikalisch korrekt' (grammatically correct).
Der Lehrer sagte, meine Lösung sei korrekt.
The teacher said my solution was correct.
When it comes to behavior, typical combinations are 'korrektes Benehmen' (proper behavior) or 'korrekte Kleidung' (appropriate clothing). A very common expression is also 'politisch korrekt' (politically correct).
Für das Vorstellungsgespräch ist korrekte Kleidung wichtig.
Appropriate clothing is important for the job interview.
When you describe a person as 'korrekt' (proper/correct), it can also have a slightly negative meaning. It can mean that the person seems very formal, distant, or even a little stiff.
Mein neuer Chef ist sehr korrekt, aber nicht besonders herzlich.
My new boss is very proper, but not especially warm.
exact / precise
'genau' and 'korrekt' can both mean that something is right and without mistakes. 'genau' often emphasizes precision, for example with numbers, descriptions, or work steps. 'korrekt' more often emphasizes that something matches the rules or the facts. With answers, data, or solutions, both can fit. They can be confused because a precise answer is often also correct. When it is about precision, 'genau' sounds more natural; when it is about being right or rule-compliant, 'korrekt' fits better.

Die Antwort des Schülers ist korrekt.
The student's answer is correct.
Hannah hat die Zeiten für das Training genau notiert.
Hannah noted the times for the training precisely.