Difference between Irrational and Irresponsible

IRRATIONAL vs IRRESPONSIBLE: NOUN

An irrational number.
A prime number.
In mathematics, an irrational number, that is, the mark of a cut which separates all rational numbers into two classes, the first having no greatest number, the second no least.
A real number that can not be expressed as the quotient of two integers, an irrational number.
That which is devoid of reason, as one of the lower animals.

Being a metric foot containing such a syllable.
Being a syllable in Greek and Latin prosody whose length does not fit the metric pattern.
Marked by a lack of accord with reason or sound judgment.
Not consistent with or using reason
Not rational; void of reason or understanding.
Not according to reason; having no rational basis; clearly contrary to reason; easily disproved by reasoning; absurd; -- of assertions and beliefs.
Not capable of being exactly expressed by an integral number, nor by a ratio of integral numbers; surd; -- said especially of roots. See Surd.
Of or relating to an irrational number.
Of a real number, that cannot be written as the ratio of two integers.
Affected by loss of usual or normal mental clarity; incoherent, as from shock.
Not endowed with reason.
Real but not expressible as the quotient of two integers
Not rational; unfounded or nonsensical.

Showing lack of care for consequences
Marked by a lack of responsibility.
Lacking a sense of responsibility; unreliable or untrustworthy.
Not liable to be called to account by a higher authority.
Not responsible; not liable or able to answer for consequences; innocent.
Not to be trusted; unreliable; lacking a proper sense of responsibility.
Lacking a sense of responsibility; incapable of or not chargeable with responsibility; unable to respond to obligation.

Not rational; without the faculty of reason; void of understanding; unreasoning.
Without the quality of reason; contrary to reason; illogical; unreasonable: as, irrational motives; an irrational project.
In mathematics: In arithmetic, not capable of being exactly expressed by a vulgar fraction, proper or improper; surd.
In translations of Euclid, and cognate writings, at once incommensurable with the assumed unit and not having its square commensurable with that of the unit. This is the peculiar meaning given by Euclid to α%27λογος, though Plato uses it in sense , above.
In algebra, noting a quantity involving a variable raised to a fractional power; or. in a wider sense, noting a quantity not rational, not a sum of products of constants and of variables into one another or into themselves.
In Greek prosody, incapable of measurement in terms of the fundamental or primary time or metrical unit.

Not capable of or chargeable with responsibility; unable to respond to obligation, as an insolvent debtor; not subject to or incurring legal responsibility, as an infant or idiot for his acts; not of a responsible nature or character.
Not responsible; not subject to responsibility; not to be held accountable, or called into question: as, an irresponsible government; the irresponsible control of wealth.

Unjustified, Irresponsible, Perverse, Insane, Rational, Illogical, Reasonless, Yellow, Blind, Jaundiced, Superstitious, Incoherent, Unreasoning, Unreasonable, Nonrational

Head in the clouds, Harum scarum, Happy go lucky, Do nothing, Devil may care, Loose, Idle, Freewheeling, Slaphappy, Carefree, Scatterbrained, Flighty, Unreliable, Unaccountable, Feckless

Unjustified, Irresponsible, Perverse, Insane, Rational, Illogical, Reasonless, Yellow, Blind, Jaundiced, Superstitious, Incoherent, Unreasoning, Unreasonable, Nonrational

Trigger happy, Head in the clouds, Harum scarum, Happy go lucky, Devil may care, Loose, Idle, Freewheeling, Slaphappy, Carefree, Scatterbrained, Flighty, Unreliable, Unaccountable, Feckless

So is there a magic answer about what exactly makes us irrational, and how those solutions designed for irrational humans are different?
When two irrational numbers are multiplied or divided, the product is sometimes rational and sometimes irrational.
When an irrational number and a rational number are added or subtracted, the sum is irrational.
The product of a rational number and an irrational number is SOMETIMES irrational.
When the square root of an irrational number is taken, does it have to be irrational?
Irrational love and irrational hate jostling together in the heart of that tormented man.
The product of two irrational numbers, in some cases, will be irrational.
Prove or disprove that the product of two irrational numbers is irrational.
Predictably Irrational, behavioral economist Dan Ariely claims that irrational.
The sum of an irrational number and an irrational number is irrational.

Leaking the information is considered an irresponsible act.
Would you call yourself financially responsible or irresponsible?
ONE test, I think, is negligent and irresponsible.
India, which he regarded as hasty and irresponsible.
"He said when he was young and irresponsible, he was 'young and irresponsible' and he left it at that.".
It was irresponsible of us to borrow, but it was also irresponsible of them to lend.
He warned political party leaders and their members to refrain from making irresponsible, inflammatory statements or pronouncements which may incite irresponsible or violent behaviour.
Irresponsible breeding is the number one factor in where pit bulls show up on this list, and irresponsible owners are number two.
It is the irresponsible owner and or the irresponsible breeder.
As we all know, lax lending practices earlier this decade led to irresponsible lending and irresponsible borrowing.