Image of Real Square Root Function

Theorem

The image of the real square root function is the entire set of positive real numbers $\R_{\ge 0}$:

$\set{x \in \R: x \ge 0}$

Proof

This theorem requires a proof. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Sources

• 1964: William K. Smith: Limits and Continuity ... (previous) ... (next): $\S 2.2$: Functions