Rational is basically being reasonable, not insane...
Rationale is basically a justification for what you are doing or choosing... the reasons behind the decision.
Yes.
Directly. Their difference IS the difference between them.
Yes.
rationale and aim are basically the same thing rationale: A set of reasons or a logical basis for a course of action or a particular belief. aims; a purpose or intention; a desire outcome
In terms of mathematical concepts, there is no difference at all. In practical terms, some rational exponents or rational number will result in rational answers while radical exponent won't. But that is hardly a significant difference.
a rational is to tell why you choose the topic that you choose
rational and irrational
animal rationale
AA is not rational.
Yes, it is.
no
Identfy the difference between rational and guilty
Yes.
Rationale for performance appraisal
Directly. Their difference IS the difference between them.
Yes. An equation has an "=" sign.
Yes, it must.