Proofs of Existence and Optimality · Proofs of Nonexistence

Lesson 5

Nikolai Chukhin · Alexander S. Kulikov

For the curious 🤓
There is also the following (on the one hand, humorous, on the other hand, correct) proof of the irrationality of the number \(\sqrt[3]{2}\). Suppose \(\sqrt[3]{2}=\frac{a}{b}\), then \(b^{3}+b^{3}=a^{3}\), but this contradicts Fermat's Last Theorem!