an irrational number is any real number that cannot be expressed as a ratio a/b, where a and bare integers, with b nonzero, and is therefore not a rational number.
Informally, this means that an irrational number cannot be represented as a simple fraction. Irrational Numbers are those real numbers that cannot be represented as terminating or repeating decimals. As a consequence of Cantor's proof that the real numbers are uncountable (and the rationals countable) it follows that almost all real numbers are irrational.[1]
When the ratio of lengths of two line segments is irrational, the line segments are also described as being incommensurable By Paul Philip S. Panis
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Irrational numbers are decimal numbers that can't be expressed as fractions. An example is the square root of 2
(pi) x (1/pi) = 1
Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)
Any positive integer not including 0. Also known as "counting numbers." 1,2,3,4,5,6,7,8,9,10,11...
Define statistical inference and give an example