Geodesic
The Degrees of Radical Extensions
Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 615-617

Voir la notice de l'article provenant de la source Cambridge University Press

The results obtained here must have been known and settled centuries ago. However, they have proved impossible to locate in the available literature. H. K. Farahat has asked for proofs of the linear independence over the rationals of certain infinite sequences of real numbers such as √2, √3, √5.... He also raised the general question of determining the degree of the field extension generated over the rationals by a family of positive irrational numbers of the form x=a1/m where a, m are positive integers. 
The Degrees of Radical Extensions. Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 615-617. doi: 10.4153/CMB-1974-114-x
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