In this paper, we analyze the geotechnical properties of the natural soft soil and its mixture with different nano materials at different percentages by conducting different number of experiments. The main objective of our work is to find whether the nano materials and their percentage level will increase the soft soil geotechnical properties or not. To accomplish this process, initially the natural soil sample is collected and the different geotechnical properties of the collected sample are computed. Then, the nano materials with different percentages are added to the natural soil sample and obtained the corresponding geotechnical properties for the mixture soil sample. Subsequently, a mathematical model is developed to find the optimal geotechnical properties value in different nano materials with different percentages. The developed mathematical model shows the geotechnical properties levels of nano mixture soil for unknown experiments. Finally, a fine tuning model process is conducted to check whether the nano material mixture of the natural soil will increase its geotechnical property or not. In this way, our proposed technique finds the optimal geotechnical property value for the unknown experiments and also produces an accurate result in fine tuning process. The implementation result demonstrates the geotechnical properties results of natural soil and nano mixture soil under different experiments. Our proposed technique shows that the geotechnical property values of the nano mixture soil are high compared to the natural soil. Moreover, the developed mathematical model is better to find the optimal geotechnical property value for unknown experiments.