Common compounds: 揭开 (uncover/reveal), 揭露 (expose), 揭发 (report/expose wrongdoing), 揭示 (reveal/indicate). 揭开 is physical (lift a cover) or metaphorical (reveal truth). 揭露 is specifically about exposing bad things.
culture
揭竿而起 (jiē gān ér qǐ) — to raise a pole and revolt — refers to the first peasant uprising in Chinese history (Chen Sheng and Wu Guang, 209 BC), using bamboo poles as makeshift weapons.