Famous Irrational Numbers
 | PI is a famous irrational number. People have calculated Pi to over one million decimal places and still there is no pattern. The first few digits look like this: 3.1415926535897932384626433832795 (and more ...) | ||||
 | The number e another famous irrational number. People have also calculated e to lots of decimal places without any pattern showing. The first few digits look like this: 2.7182818284590452353602874713527 (and more ...) | ||||
| PI is a famous irrational number. People have calculated Pi to over one million decimal places and still there is no pattern. The first few digits look like this: 3.1415926535897932384626433832795 (and more ...) | ||||
 | The Golden Ratio is an irrational number. The first few digits look like this: 1.61803398874989484820... (and more ...) | ||||
 | Many square roots, cube roots, etc are also irrational numbers. Examples:
But √4 = 2, and √9 = 3, so not all roots are irrational. |
History of Irrational Numbers
Apparently Hippasus (one of Pythagoras' students) discovered irrational numbers when trying to represent the square root of 2 as a fraction (using geometry, it is thought). Instead he proved you couldn't write the square root of 2 as a fraction and it was was irrational.
However Pythagoras could not accept the existence of irrational numbers, because he believed that all numbers had perfect values. But he could not disprove Hippasus' "irrational numbers" and so Hippasus was thrown overboard and drowned!
1 comment:
Very well discuss about irrational numbers and a real number that cannot be expressed as a rational number, ie. a number that cannot be written as a simple fraction - the decimal goes on forever without repeating.
Example: Pi is an irrational number
types of graphs
Post a Comment