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Irrational Numbers

Hippasus a Greek philosopher, was a disciple of Pythagoras the ancient Greek mathematician. Pythagoras believed that all numbers were rational but one of his students Hippasus proved, using geometry, that the square root of 2 is irrational.



There are some special cases in the decimals. A non-terminating and a non-

repeating decimal cannot form a rational number. Most students know about Pi and Square roots. Such numbers are called as irrational numbers. An Irrational Number is a number that cannot be written in the form where and are integers and


Example :

These are the best examples for irrational numbers:

We can represent the irrational numbers on number lines.


Let us represent on the number line as follows:



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