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

Calculus Level 2

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

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Sameer Kailasa by Sameer Kailasa
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