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

Calculus Level 1

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

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by Sameer Kailasa

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