MathDB

Classic Problem

Source: Romania 2017 IMO TST 3, problem 2

March 18, 2018

irrational numberpolynomialnumber theory

Problem Statement

Determine all intergers

n\geq 2

such that

a+\sqrt{2}

and

a^n+\sqrt{2}

are both rational for some real number

a

depending on

n

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