是一个无理数，也是一个超越数。

Is an irrational number, also is a transcendental number.

这个理论适用于所有的无理数。

This theory holds for all irrational Numbers.

这个理论使用于所有的无理数。

This theory holds for all irrational numbers; The same rules go for everyone.

他对无理数作了出色的处理。

He produced his beautiful treatment of irrational Numbers.

本文通过问卷调查和访谈的方法对职前和在职数学教师关于无理数概念的理解进行了调查研究。

In this paper, the author takes a survey on pre-service and in-service mathematics teachers 'understanding of irrational Numbers by using questionnaire and interview.