Question 2
Prove that the number
$$
\sqrt[n]{\sqrt{2018} + \sqrt{2017}} + \sqrt[n]{\sqrt{2018} - \sqrt{2017}}
$$
is not rational for $n \ge 2$.
$$
\sqrt[n]{\sqrt{2018} + \sqrt{2017}} + \sqrt[n]{\sqrt{2018} - \sqrt{2017}}
$$
is not rational for $n \ge 2$.