Difference between Irrational and Ludicrous

IRRATIONAL vs LUDICROUS: NOUN

An irrational 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.
A prime number.

Marked by a lack of accord with reason or sound judgment.
Being a syllable in Greek and Latin prosody whose length does not fit the metric pattern.
Being a metric foot containing such a syllable.
Of or relating to an irrational number.
Affected by loss of usual or normal mental clarity; incoherent, as from shock.
Not endowed with reason.
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.
Not rational; unfounded or nonsensical.
Of a real number, that cannot be written as the ratio of two integers.
Real but not expressible as the quotient of two integers

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 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 mathematics: In arithmetic, not capable of being exactly expressed by a vulgar fraction, proper or improper; surd.
Without the quality of reason; contrary to reason; illogical; unreasonable: as, irrational motives; an irrational project.
Not rational; without the faculty of reason; void of understanding; unreasoning.
In Greek prosody, incapable of measurement in terms of the fundamental or primary time or metrical unit.

Synonyms Funny, Comical, Droll, Ludicrous, Ridiculous, Laughable. Either the direct action of laughter or a corresponding sentiment is included in the signification of all these terms.
In this respect laughable is the generic word, but it is also one of the strongest. Funny is the weakest of the list, ranging from the meaning of ‘amusing’ or ‘odd’ down to its colloquial use in the sense of ‘strange.’ Comical still retains a faint suggestion of its origin in connection with the drama, being primarily used in connection with something done or seen, and hence something viewed by the mind: a comical predicament is just such as would be fit for exhibition in a comedy. Droll especially implies the odd or unfamiliar: as, a droll story, idea, fellow. Ludicrous is an advance in strength upon comical, as comical is an advance upon funny. Ridiculous is the only word in the list that throws contempt or even discredit upon the person concerned: it is allowable to tell a ludicrous story about one's friend, but not a story that makes him appear ridiculous. A thing may be ludicrous, etc., on account of its unreasonableness or violation of common sense; if it is ridiculous, it is certainly on that account. That is laughable which simply provokes a hearty laugh.
So unreasonable as to invite derision
Resembling farce
Serving for or exciting sport; laughable from singularity or grotesqueness; adapted to cause sportive laughter or ridicule; absurd.

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

Risible, Silly, Idiotic, Illogical, Outrageous, Laughable, Humorous, Humourous, Derisory, Farcical, Foolish, Nonsensical, Preposterous, Absurd, Ridiculous

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

Risible, Silly, Idiotic, Illogical, Outrageous, Laughable, Humorous, Humourous, Derisory, Farcical, Foolish, Nonsensical, Preposterous, Absurd, Ridiculous

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.

She spoke as if his dilemma were ludicrous.
It is ludicrous to assume such a thing.
Such ludicrous supposition only re enforces my view.
New York City make laws that are ludicrous.
This is ludicrous and I want a refund.
George and it is for him as ludicrous.
Your ludicrous costume reminds me of an undertaker.
Just as ludicrous was the suggestion, from Sen.
Now, these laws, Your Honors, are ludicrous in their inception and equally ludicrous in their application.
Reiki is even more ludicrous than the already ludicrous acupuncture.