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Omni-MATH / Determine whether √(1001²+1)+√(1002²+1)+⋯+√(2000²+1) be a rational number or not?

Problem

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problem

Determine whether

\sqrt{1001^2+1}+\sqrt{1002^2+1}+ \cdots + \sqrt{2000^2+1}

be a rational number or not?

Plain-text mathematical notation (without MathML)

Determine whether √(1001²+1)+√(1002²+1)+⋯+√(2000²+1) be a rational number or not?

Original LaTeX notation

Determine whether $\sqrt{1001^2+1}+\sqrt{1002^2+1}+ \cdots + \sqrt{2000^2+1}$ be a rational number or not?

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Source and history

task_id: 00c7dc53-c6cb-5788-b79a-b8595fc26f68
task_key: test--00c7dc53-c6cb-5788-b79a-b8595fc26f68
task_revision_id: 2
config / split: / test

Official source

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