Differences

This shows you the differences between two versions of the page.

--- pow:problem7s21 [2021/05/18 01:56]
mazur
+++ pow:problem7s21 [2021/05/18 12:07] (current)
mazur
@@ Line 1: / Line 1: @@
+<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}}.