What do you mean by 'irrational', do you mean women cannot think critically? Do you mean women cannot reason logically? Or do you simply use the word 'irrational' to mean 'more emotional' like so many people do? If you mean the latter (more emotional) then, I disagree. Men have emotions too, the fact that society makes it more difficult for men to display those emotions publicly does not mean men are not influenced by them.

If, on the other hand, you are asking if women are less able to think critically than men, I disagree again. Critical thinking is not innate, it's something you learn, something you develop. It's not gender specific. The same can be said for logic. Rationality requires practice. Women are not innately less rational than men. Perhaps women are less encouraged to be more rational. Perhaps we are still governed by old-fashioned and rigid ideals of what masculinity and what femininity are.