yes he defeated both of them, he defeated grendel by ripping off
his arm them keeping it as proof
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After Beowulf slays Grendel's mother he chops off the head of
Grendel. He killed Grendel's mother with a magical sword that he
used to stab her in the neck.
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Beowulf kills Grendel, Grendel's mother, and a dragon in the epic poem Beowulf.
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Beowulf kills Grendel's mother by using a sword on her.
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In the epic poem "Beowulf," the narrator refers to Grendel's mother simply as "Grendel's mother." She is not given a personal name in the story.