The addition of , and to increases thermal conductivity, which was around 1.14 at 45 °C for a 0.1 wt% concentration of the ternary hybrid nanofluid . Keeping this in mind, we explored a chemically reactive flow through an elongating sheet with quadratic thermal radiation and second-order slip. To achieve the desired results, bvp4c (Matlab built-in function) is used. The engineering parameters, including heat transfer rate, are discussed using Multiple linear regression. The primary finding of this study is that the radiation parameter, heat source parameter and Brinkman number all negatively influence the Nusselt number. It has been discovered that the first-order slip parameter reduces fluid velocity and the surface drag force decreases as the magnetic field parameter increases. It is noticed that there is a negative relationship between the Sherwood number and the chemical reaction parameter. Furthermore, the fluid concentration is found to have a proportionate relationship with the order of the chemical reaction. Validation is performed between the current and previous study outcomes to determine the accuracy of the present work.