She walked out of the room with sleepy, bleary eyes.
Tips
memory
Both characters contain the moon radical 月, fitting since 朦胧 often describes dim moonlight or hazy moonlit scenes. Picture a misty moon barely visible through clouds.
usage
Common collocations: 月色朦胧 (hazy moonlight), 睡眼朦胧 (sleepy-eyed), 朦胧的记忆 (hazy memory). Also used in literary criticism: 朦胧诗 refers to the 'Misty Poetry' movement of the late 1970s-80s.