We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.

what is a irrarational number

 Sep 23, 2017

An Irrational Number is a real number that cannot be written as a simple fraction.

Eg: 1.13577894561...


 Sep 23, 2017

An irrational number is a real number that cannot be represented as a ratio of \(\frac{a}{b}\)such that a and b are both integers.


Another way to know if a number is irrational is to notice if the decimal expansion does not terminate or repeat indefinitely. If it is, that number is irrational.


\(\pi\), for example, is irrational. \(\sqrt{2}\) is also irrational. \(\phi\) (known as the golden ratio) is irrational, too.


\(\frac{1}{3}\) is not irrational because it is a ratio of \(\frac{a}{b}\) where a=1 and b=3.


\(2.7551\) is not irrational because the decimal terminates.


\(1.3\overline{949494}\) is not irrational because the decimal repeats indefinitely. 

 Sep 23, 2017

18 Online Users