How to Say "conquer" in Spanish
The Spanish word for “conquer” is “vencer” — A2 level. This is a very common word in everyday Spanish.

Examples
El equipo logró vencer a su rival en la final.
The team managed to defeat their rival in the final.
Debemos vencer el miedo para alcanzar nuestros sueños.
We must overcome fear to achieve our dreams.
Ella ha vencido muchos obstáculos en su vida.
She has overcome many obstacles in her life.
Spelling Change for Sound
In forms where the 'c' meets an 'a' or 'o' (like 'yo' present, or all present subjunctive forms), the 'c' changes to 'z' (venzo, venza) to keep the 'th' or 's' sound consistent, rather than a hard 'k' sound.
Missing the 'z' change
Mistake: “Using 'venco' instead of 'venzo' for the 'yo' form.”
Correction: Always remember the 'c' changes to 'z' before 'o' and 'a' to maintain the correct pronunciation: 'Yo venzo' (I defeat).
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