In this study, the stability of flowing viscous hybrid nanofluid over a stretching surface under uniform magnetic effect and radiation are investigated. The mechanics governing the system of coupled momentum and energy equations are formulated using the Navier Stokes model, which is transformed from the partial form of differential equations into an ordinary form of differentials adopting suitable transforms. As this model is highly nonlinear, the Runge-Kutta Fehlberg numerical method is utilized as a suitable method of analysis. Significant parameters such as radiation, magnetic, and volume concentration effects are studied amongst other pertinent parameters. The result presented graphically reveals a numeric increase of radiation parameter enhances thermal distribution, this connotes an improved heat transfer rate. While the volume concentration-effect reveals velocity decrease with an enhanced nanoparticle concentration. Moreover, it is seen that the velocity decreases with the magnetic parameter but increases with the suction/injection parameter. The fluid temperature enhances with the radiation and Eckert number. The result compared with suitable literature shows good agreement with the present study. Applications of the study include heat exchanger, lubrication, microelectronics, air conditioning, and refrigeration amongst others.