V. E. Volkov, V. B. Sherstyukov, “On the arithmetic properties of a number <nobr>$\sqrt[3]{2}+ \sqrt{3}$</nobr>”, Math. Ed., 2020, Issue 3(95),Pages <nobr>2

Students and teachers of secondary school

On the arithmetic properties of a number $\sqrt[3]{2}+ \sqrt{3}$

V. E. Volkov, V. B. Sherstyukov

Moscow Engineering Physics Institute (National Nuclear Research University)

Abstract: 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.

UDC: 511.14