IPA: /nɒnˈræʃənl/
KK: /nɑnˈræʃənl/
Not based on reason or logical thinking; lacking rationality.
His nonrational beliefs often led him to make decisions that others found confusing.
Nonrational → It is formed from "non-" (meaning not) and "rational" (from Latin "rationalis", meaning reasonable or logical). The word "nonrational" means not reasonable or lacking logical reasoning.
Think of 'not' ('non-') being combined with 'reasonable' ('rational') to remember that 'nonrational' describes something that is not based on reason.