pow:problem7s21
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| pow:problem7s21 [2021/05/18 05:56] – mazur | pow:problem7s21 [2021/05/18 16:07] (current) – mazur | ||
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| + | <box 80% round orange| Problem 7 (due Monday, May 17)> | ||
| + | Prove that the number | ||
| + | \[\left(\sqrt{13+\sqrt{52}}-\sqrt{13}\right)^{\mbox{ $(\sqrt{14+\sqrt{52}}-\sqrt{13})^{ (\sqrt{15+\sqrt{52}}-\sqrt{13})}$}}\] | ||
| + | is irrational. | ||
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| + | </ | ||
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| + | The problem was solved by Ashton Keith and John Mignone. For detailed solution see the following link {{: | ||