Irrational numbers - Colegiul Național din Iași (Iași - Roumanie)
Titre du sujet:
Irrational numbers
Établissement:
- Colegiul Național din Iași (Iași - Roumanie)
Année:
- 2020-2021
Résumé:
Let d 1 be an integer. Determine all numbers of the form a b (a, b Z) such that their inverses are of the same form (a b , with a, b Z). For instance, for d 2, 1 has this property, since:
One can assume d is squarefree (d 0 and 1 and d is not divisible with the square of any prime; d can be 2, 3, 1, 6, ..., but not 8 or 18).
Mots clés:
- nombre irrationnel