The Korteweg–de Vries (KdV) equation is one of the most influential nonlinear evolution equations in mathematical physics, widely recognized for its integrability and relevance in modeling nonlinear wave phenomena. While classical soliton solutions of the KdV equation have been extensively studied, rational solutions represent a distinct and mathematically rich class characterized by algebraic localization and non-periodic behavior. This theoretical research paper examines the conceptual foundations of Wronskian-based approaches to constructing rational solutions of the KdV equation without relying on explicit analytical formulations. The study focuses on the theoretical significance, structural properties, and mathematical implications of determinant-based representations. By synthesizing existing theoretical perspectives and highlighting the conceptual advantages of Wronskian methods, this paper contributes to a deeper understanding of rational solution frameworks within integrable nonlinear systems.