surd

Represents a checkmark or radical symbol without an overline, commonly used in mathematical expressions and proofs.

Overview

Provides a visually distinct way to denote square roots or indicate verified statements in mathematical contexts, offering an alternative to the traditional radical notation.

Often employed in mathematical proofs to mark completed or verified steps
Used in elementary algebra and number theory when discussing roots
Appears in formal logic and set theory for indicating existence or verification
Serves as a more compact alternative to \sqrt when an overbar isn't needed

Examples

Expressing the square root symbol in a logical statement

x > 0 \implies \surd x \in \mathbb{R}

x > 0 \implies \surd x \in \mathbb{R}

Indicating a correct solution or verified result

2 + 2 = 4 \quad \surd

2 + 2 = 4 \quad \surd

Using the surd symbol in a set definition

S = \{x \in \mathbb{R} : \surd x^2 = |x|\}

S = \{x \in \mathbb{R} : \surd x^2 = |x|\}