Acharya Prashant explains Sage Patanjali's teachings on practice and detachment as essential methods for liberating the mind from its tendencies. He describes practice as an internal process where a part of the mind that is closer to the soul monitors and resists the fragmented parts clouded by tendencies. This requires repetition and the strength of the soul to overcome deep habits, often resulting in internal resistance. Detachment, on the other hand, is the realization that mental forms only exist because the mind labels them; it is the conscious act of letting go of these identifications. The speaker asserts that practice and detachment must coexist, as practice is for the action-oriented mind and detachment is for the knowledge-oriented mind. He also differentiates between ordinary detachment, which lets go of the external world, and supreme detachment, which involves letting go of both the world and the individual self, moving beyond the state of the witness to a transcendental state.