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pow:problem7s21 [2021/05/18 01:45] mazur created |
pow:problem7s21 [2021/05/18 12:07] (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. | ||
+ | |||
+ | |||
+ | |||
+ | </box> | ||
+ | |||
+ | The problem was solved by Ashton Keith and John Mignone. For detailed solution see the following link {{:pow:2021sproblem7.pdf|Solution}}. |