The significance of an agile approach in software engineering lies in its ability to enhance adaptability, collaboration, and speed in software development. Agile methodologies prioritize iterative development, allowing teams to respond quickly to changes in requirements or market demands. Regular feedback loops with stakeholders facilitate continuous improvement and ensure that the final product meets user needs effectively. This approach also fosters cross-functional teamwork and encourages a culture of flexibility, ultimately leading to higher-quality software delivery and improved project outcomes.