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Are \(\sqrt{m}-\sqrt{n}\) Dense In \(\mathbb{R}\)?

Calculus Level 2

Consider the set \[S:= \big\{\sqrt{m}-\sqrt{n}\, : \, m, n \in \mathbb{N}\big\}.\] Is \(S\) dense in \(\mathbb{R}\)?

Yes No

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by Sameer Kailasa

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