purely transcendental extension meaning in Hindi

• शुद् ध त: अबीजीय विस्तार

purely: निर्दोषता से
purely transcendental: शुद् ध त: अबीजीय
transcendental: इंद्रियातीत
extension: आयाम प्रसार

Here " rational " means that it is a purely transcendental extension of, generated by an algebraically independent set.
For defining the separability of a transcendental extension, it is natural to use the fact that every field extension is an algebraic extension of a purely transcendental extension.