Irrational vs. Illogical

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Difference Between Irrational and Illogical
Irrationaladjective
Not rational; unfounded or nonsensical.
an irrational decisionIllogicaladjective
Contrary to logic; lacking sense or sound reasoning.
I received an illogical reply and that left me standing there feeling confused.Irrationaladjective
Of a real number, that cannot be written as the ratio of two integers.
The number π is irrational.Illogicaladjective
lacking in correct logical relation
Irrationalnoun
A real number that can not be expressed as the quotient of two integers, an irrational number.
Illogicaladjective
lacking orderly continuity;
a confused set of instructionsa confused dream about the end of the worlddisconnected fragments of a storyscattered thoughtsADVERTISEMENT
Irrationaladjective
not consistent with or using reason;
irrational fearsirrational animalsIrrationaladjective
real but not expressible as the quotient of two integers;
irrational numbers