Irrational numbers

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What is an irrational number?

The irrational numbers are those that have a decimal part of infinite numbers and do not have a number or group of periodic numbers, in other words, there is no repetition in the decimal part.

It is called irrational because it is not possible to express as a fraction or a reason, unlike irrational numbers that can be expressed as fractions.

Learn more about: “Rational numbers”. →

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What are the irrational numbers?

Irrational numbers are presented by the letter I, capital "i". Another way to present irrational numbers is R - Q, where R corresponds to real numbers and Q to rational numbers. It is important not to use lowercase "i" as it represents imaginary numbers.

There are irrational numbers that have their own symbols, for example:

• Pi Number: It is represented by the Greek letter pi "Π" and its approximate value is rounded to 3.1416 but the actual value of the decimals is uncertain: 3.141592653589793238462643...

  Learn more about:“Pi Number”. →

• Euler number: It is represented by the letter "e" and has infinite decimals, some digits are: 2.718281828459045235...

  Learn more about: “Euler number”. →

• Golden number: It is represented by the Greek letter phi "Φ", is a number that presents great wonders and incredible properties, the approximate value is: 1.61803398...

  Learn more about: “Golden number”. →

Some irrational numbers are:

√5 = 2.23606797749979...
√2 = 1.41421352373095...
√123 = 11.09053650640942...
√3 = 1.732050807568877...
√685 = 26.1725046566048...
6.01001000100010000...