Difference between Irrational and Nonsense

IRRATIONAL vs NONSENSE: 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.
That which is devoid of reason, as one of the lower animals.
A real number that can not be expressed as the quotient of two integers, an irrational number.

A damaged DNA sequence whose products are not biologically active, that is, that does nothing.
A type of poetry that contains strange or surreal ideas, as, for example, that written by Edward Lear.
Something foolish.
An untrue statement.
Letters or words, in writing or speech, that have no meaning or seem to have no meaning.
Lines made by taking any words which occur, but especially certain words which it is desired to recollect, and arranging them without reference to anything but the measure, so that the rhythm of the lines may aid in recalling the remembrance of the words.
Synonyms Folly, stuff, twaddle, balderdash.
Trifles; things of no importance.
Not sense; that which makes no sense or is lacking in sense; language or words without meaning, or conveying absurd or ridiculous ideas; absurd talk or senseless actions.
Insolent talk or behavior; impudence.
Matter of little or no importance or usefulness.
A message that seems to convey no meaning
Ornamental objects of no great value
Words or signs having no intelligible meaning.
Subject matter, behavior, or language that is foolish or absurd.
Extravagant foolishness or frivolity.
That which is not sense, or has no sense; words, or language, which have no meaning, or which convey no intelligible ideas; absurdity.

Of a real number, that cannot be written as the ratio of two integers.
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 according to reason; having no rational basis; clearly contrary to reason; easily disproved by reasoning; absurd; -- of assertions and beliefs.
Not rational; void of reason or understanding.
Of or relating to an irrational number.
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.
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.
Not consistent with or using reason

Of or relating to a mutation in a structural gene that changes a nucleotide triplet into a stop codon, thus prematurely terminating the polypeptide chain during protein synthesis.
Having no intelligible meaning

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.
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.

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

Crap, Codswallop, Poppycock, Balderdash, Baloney, Hogwash, Nonsensicality, Trumpery, Gimcracks, Meaninglessness, Gimcrackery, Meaningless, Falderal, Frills, Folderol

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

Humbug, Claptrap, Crap, Codswallop, Poppycock, Balderdash, Baloney, Hogwash, Trumpery, Gimcracks, Meaninglessness, Gimcrackery, Meaningless, Frills, Folderol

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.

Trump agree with whatever nonsense he last hears?
This one is normally reserved for nonsense verse.
At least they pay well for the nonsense.
Do you know the reason for this nonsense?
This is only the first bit of nonsense.
Tampering with unitarity is a recipe for nonsense.
The privilege of true friendship is that we can talk total nonsense, and the best part is that we respect that nonsense.
He may be talking nonsense, but anyone his party was likely to nominate would have been talking pretty much the same nonsense.
Participants performed a task involving matching nonsense names to nonsense figures.
The nonsense list of example sentences with nonsense.