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Irrational Numbers facts

While investigating facts about Irrational Numbers Definition and Irrational Numbers Examples, I found out little known, but curios details like:

Irrational numbers are called irrational because they aren't ratio-nal (they can't be described as a ratio or fraction)

how irrational numbers differ from rational numbers?

A math cult lead by Pythagoras murdered the man that leaked the secret that the number root two was irrational.

What is the difference between rational and irrational numbers?

In my opinion, it is useful to put together a list of the most interesting details from trusted sources that I've come across answering what are irrational numbers in math. Here are 20 of the best facts about Irrational Numbers Symbol and Irrational Numbers Definition And Examples I managed to collect.

what are rational and irrational numbers?

  1. Pythagoras did not believe in irrational numbers, and when someone discovered them, the other Pythagoreans killed that person by throwing him overboard on a sea voyage. They vowed to keep the idea of these types of numbers a secret.

  2. Pythagoras was the leader of a cult that believed, "all is number." When a member of his cult discovered the irrational number and announced it to the public, Pythagoras had him executed.

  3. The Greek mathematician Hippasus discovered irrational numbers. According to one version, he told his shipmates (Pythagoreans) who then threw him overboard and he drowned.

  4. Pythagoras is rumored to have murdered his student Hippasus for discovering irrational numbers

  5. An irrational fear of the number 666 is called hexakosioihexekontahexaphobia and was responsible for the renaming of US Route 666 to US Route 491 in 2003.

  6. Hippasus of Metapontum, a student of the mathematician Pythagoras, who, by some accounts, was drowned by his fellow Pythagoreans for the imprudence of discovering irrational numbers.

  7. The discoverer of irrational numbers, Hippasus, was murdered at sea by his fellow colleagues because of his discovery of irrational numbers

  8. Some people suffer from hexakosioihexekontahexaphobia, an irrational fear of the number 666

irrational numbers facts
What are irrational numbers with examples?

Why irrational numbers are denoted by s?

You can easily fact check why irrational numbers are uncountable by examining the linked well-known sources.

While pi and e are the classic examples of irrational numbers, it is still unproven that their sum, difference, and product are likewise irrational.

An irrational number raised to the power of an irrational number can be rational. - source

The irrational fear of the number 13 has been given a scientific name: "triskaidekaphobia"; and on analogy to this the fear of Friday the 13th is called paraskevidekatriaphobia - source

Nonrepeating, infinite numbers are called "Irrational Numbers" because fractions are "ratios" (rational)

Irrational fear of the number 666 is hexakosioihexekontahexaphobia - source

When were irrational numbers discovered?

The guy that proved the existence of irrational numbers was murdered for his finding

How irrational numbers were discovered?

Euler's equation, which states that e^(i*π) + 1 = 0, or in other words, that the constant "e" (irrational number 2.71828...) raised to the power of "i" (the imaginary square root of -1) multiplied by pi plus one equals zero.

Hippasus of Metapontum a pythagorean philosopher, discovered the existence of irrational numbers, and this discovery was shocking the pythagoreans, and Hippasus is supposed to have drowned at sea, apparently as a punishment from the gods, for divulging this

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