An algebra problem by Chung Kevin

Algebra Level 3

Let

\[ x = \sqrt[2]{10} + \sqrt[3]{9} + \sqrt[4]{8} + \sqrt[5]{7} + \sqrt[6]{6} + \sqrt[7]{5} + \sqrt[8]{4} + \sqrt[9]{3} + \sqrt[10] {2} . \]

Which of the following statements is true?

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