Geodesic
On the arithmetic properties of a number $\sqrt[3]{2}+ \sqrt{3}$
Matematičeskoe obrazovanie, Tome 95 (2020) no. 3, pp. 2-7

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It is shown that this number is irrational and is an integer algebraic number of degree equal to six.
Keywords: irrational number, algebraic integer, power of an algebraic integer. 
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V. E. Volkov; V. B. Sherstyukov. On the arithmetic properties of a number $\sqrt[3]{2}+ \sqrt{3}$. Matematičeskoe obrazovanie, Tome 95 (2020) no. 3, pp. 2-7. http://geodesic.mathdoc.fr/item/MO_2020_95_3_a0/