An education that aims at getting a student a certain kind of job is a techical education, (which is) justified /// for reasons （that are ）radically different from  （the reasons）why education is universally required by law.

大意：旨在让学生能获得一份工作的教育是技术教育，这点因为了一些理由而得到合理解释。这些理由根本不同于法律普遍地要求要进行教育的那些理由。

An education that aims at getting a student a certain kind of job is a techical education,justified for reasons radically different from why education is universally required by law.

【翻译】旨在使学生获得某种工作的教育是一种技术教育，其合理存在的理由与法律所规定的普及教育之理由迥然不同。

划线部分总体为形容词短语作定语，修饰 a technical education。介词短语 for reasons 是justified（合理合法的）的原因，形容词短语radically different from why education is universally required by law 又是reasons 的定语。

根据汉语习惯，最后的这个形容词短语，可以变通翻译，按照“主系表” 结构理解。即：reasons are differnent from...