How to Say "admit" in Spanish
The Spanish word for “admit” is “reconocer” — B2 level. This is a very common word in everyday Spanish.
English → SpanishB2
verbB2neutral/formal
accepting a fact or fault

Examples
Debemos reconocer que la situación es más compleja de lo que parece.
We must acknowledge that the situation is more complex than it seems.
El jefe reconoció el esfuerzo de sus empleados con un bono.
The boss acknowledged (or rewarded) his employees' effort with a bonus.
Él reconoció que se había equivocado en el cálculo.
He admitted that he had made a mistake in the calculation.
Recognizing vs. Admitting
When 'reconocer' means 'to admit,' it is often followed by 'que' (that) and a statement: 'Reconozco que tengo miedo' (I admit that I am afraid).
Related Translations
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