1. Brief Overview
The Greek word ἀχρειόω (achreioo), transliterated as “achreioo,” derives from the root word ἄχρηστος (achrestos), meaning “useless” or “unprofitable.” The primary meaning of ἀχρειόω is “to make useless” or “to render unprofitable.”

2. Detailed Lexical Analysis
According to BDAG, ἀχρειόω is used to describe actions or states where something or someone is rendered ineffective or worthless. Other concordances, such as Thayer’s and Strong’s Exhaustive, align with this interpretation, emphasizing its implications of making something no longer useful or good for its intended purpose. This term appears in the Bible in Romans 3:12, where it is used to describe the spiritual worthlessness of mankind apart from divine grace.

3. Classical Greek Usage
In classical Greek literature up to 100 AD, ἀχρειόω is often used metaphorically or in philosophical texts to discuss the moral or practical worthlessness of certain actions or traits. Examples include:

• A philosophical discourse by Plato discussing the virtues and how neglecting them renders a person ‘useless’ to society.
• A critique in Aristophanes’ plays on the folly of certain social norms, using ἀχρειόω to signify the uselessness of outdated traditions.
• A medical text by Hippocrates discussing the ineffectiveness of certain treatments, metaphorically using ἀχρειόω to describe their lack of benefit.

4. Summary
ἀχρειόω (G889) captures the concept of rendering something useless or unprofitable, with profound theological implications as seen in Romans 3:12. Its usage in the New Testament and classical Greek literature highlights a broad cultural understanding of the term, emphasizing moral and practical worthlessness. This term not only reflects a state of ineffectiveness but also a call to recognize and rectify what is deemed unprofitable or worthless in various contexts.