How to Say "prove" in Spanish
The most common Spanish word for “prove” is “probar” — use 'probar' when you need to establish the truth or validity of something in a general sense, often by presenting evidence..
probar
proh-BAHR/pɾoˈβaɾ/

Examples
Necesitas documentos para probar tu edad.
You need documents to prove your age.
El científico no pudo probar su hipótesis con los datos.
The scientist could not prove his hypothesis with the data.
Su comportamiento prueba que está equivocado.
His behavior proves that he is wrong.
Usage with 'Que'
When 'probar' introduces a statement of fact, it is usually followed by 'que' and the simple verb form (indicative): 'El reporte prueba que funciona' (The report proves that it works).
pruebe
/PRWEH-beh//ˈpɾwe.βe/

Examples
Exigimos que el acusado pruebe su coartada.
We demand that the accused prove his alibi.
Pruebe que su método es mejor que el anterior.
Prove that your method is better than the previous one. (Formal Command)
Subjunctive vs. Indicative
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