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.
Â
Pythagoras
Â
There are some special cases in the decimals. A nonterminating 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 andÂ
Example :
These are the best examples for irrational numbers:
We can represent the irrational numbers on number lines.
Â
Let us represent on the number line as follows:Â
