To end the Persian invasion of their homeland the Greeks crushed them at

The battle of Thermopylae and Salamis

Explanation:

Victory over the allied Greek states at the famous Battle of Thermopylae allowed the Persians to torch an evacuated Athens and overrun most of Greece. However, while seeking to destroy the combined Greek fleet, the Persians suffered a severe defeat at the Battle of Salamis.

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answer; taking detailed notes during the interview;