brotar

To sprout, bud, or emerge — used for plants (brotar las primeras hojas), water (brotar un manantial), and figuratively for things that suddenly appear or break out, like a rash, tears, or an epidemic (brotó una epidemia, le brotaron lágrimas).

• Ya están brotando las primeras flores de primavera. — The first spring flowers are already sprouting.
• Le brotaron lágrimas al escuchar la noticia. — Tears welled up when she heard the news.
• El manantial brota entre las rocas de la montaña. — The spring bubbles up from among the mountain rocks.

Brotar describes the sudden, natural emergence of something (plants, liquid, emotion, disease) — it's not a general verb for 'to appear'; aparecer covers the broader, less organic sense.

• quote "Saldrá un vástago del tronco de Jesé, y un retoño de sus raíces brotará" — Isaiah 11:1, a foundational messianic prophecy in the Hebrew Bible/Old Testament, widely quoted across Spanish Bible translations (e.g. Reina-Valera, Biblia de Jerusalén) using this or closely related phrasing with 'brotar.'