It is indeed a great tragedy that Évariste Galois died at such a young age. He was a brilliant mathematician who made significant contributions to the fields of algebra and number theory.

If Galois had lived longer, it is certainly possible that he could have made even more groundbreaking discoveries in mathematics. However, it is impossible to know for sure what he might have accomplished. It is important to appreciate the work that he did manage to complete in his short life and the lasting impact that it has had on mathematics.

Galois' work on group theory, which he developed at the age of 18, revolutionized the study of algebra and laid the foundation for the development of abstract algebra. His ideas continue to be studied and applied by mathematicians today, and his legacy has inspired generations of mathematicians to pursue new ideas and discoveries.
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