Difference between Irrational and Unreasonable

IRRATIONAL vs UNREASONABLE: NOUN

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 prime number.
An irrational number.
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.

Affected by loss of usual or normal mental clarity; incoherent, as from shock.
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.
Not endowed with reason.
Not consistent with or using reason
Not rational; void of reason or understanding.
Of a real number, that cannot be written as the ratio of two integers.
Not rational; unfounded or nonsensical.
Not capable of being exactly expressed by an integral number, nor by a ratio of integral numbers; surd; -- said especially of roots. See Surd.
Real but not expressible as the quotient of two integers
Not according to reason; having no rational basis; clearly contrary to reason; easily disproved by reasoning; absurd; -- of assertions and beliefs.

In Greek prosody, incapable of measurement in terms of the fundamental or primary time or metrical unit.
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.

Not reasonable or agreeable to reason; irrational.
Exceeding the bounds of reason; beyond what is reasonable or moderate; exorbitant; immoderate: as, an unreasonable price.
Not endowed with reason; irrational.
Not listening to or acting according to reason; not guided by reason; not influenced by reason.
Inconvenient.
Synonyms Absurd, Silly, Foolish, etc. (see absurd), obstinate, wrong-headed, extravagant, unfair, unjust, extortionate.
Not showing good judgment

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

Senseless, Incongruous, Silly, Indefensible, Inordinate, Undue, Foolish, Untenable, Excessive, Absurd, Irrational, Illogical, Unrealistic, Unjustified, Unwarranted

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

Senseless, Incongruous, Silly, Indefensible, Inordinate, Undue, Foolish, Untenable, Excessive, Absurd, Irrational, Illogical, Unrealistic, Unjustified, Unwarranted

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.

Disarm unreasonable and difficult behavior when correctly used.
Therefore all progress depends on the unreasonable man.
An attorney shall not make an agreement for, charge, or collect an unreasonable fee or an unreasonable amount for expenses.
It would, for example be unreasonable to insist on compliance with the clause if it was unreasonable or impossible for the person to comply.
Whether a behaviour is unreasonable can depend on whether a reasonable person might see the behaviour as unreasonable in the circumstances.
Charter arguments, such as unreasonable delay, the right to be secure against unreasonable search and seizure, and the right to counsel.
You can definitely sue for unreasonable delays if you can prove that the delays are, in fact, unreasonable.
The traveller complained that the arrest was unreasonable and that various actions of the involved police officers were unreasonable.
An unreasonable comprehensive doctrine is unreasonable in the sense that it is incompatible with the duty of civility.
The Right Against Unreasonable Search and Seizure The Fourth Amendment protects persons from unreasonable searches and seizures.