Irrational means not Rational
An Irrational Number is a real number that cannot be written as a simple fraction.
|Rational Number||0.5 = ½|
|Irrational Number||√2 = 1.414213562373095… = ?/?|
Table of Contents
A Rational Number can be written as a Ratio of 2 integers (ie a simple fraction).
The numbers that cannot be written as a ratio of 2integers are called Irrational Numbers.
Cannot Be Written as a Fraction
It is irrational because it cannot be written as a ratio (or fraction),
So we can tell if it is Rational or Irrational by trying to write the number as a simple fraction.
|Number||Fraction Form||Rational or Irrational|
Famous Irrational Numbers
|π||3.14159265358979323…||People have calculated Pi to over a quadrillion decimal places and still there is no pattern|
|e||2.71828182845904523…||People have also calculated e to lots of decimal places without any pattern showing|
|√||Many roots (except perfect roots) are also irrational numbers|
Multiplying Irrational Numbers
π × π = π2 is irrational
√3 × √3 = 3 is rational