what is an irrational number?

Question

what is an irrational number?
or what does the term irrational number mean

Answer 1

a number that cannot be represented as a ratio of two integers.

Pi, and eulers number e, are both irrational, and also trancendental.

Answer 2

Irrational means it can't be represented as a ratio of integers.

Examples of irrational numbers are π, square roots (except perfect squares), e, the golden ratio (Φ), most logs/ln, etc.

When represented as a decimal they go on forever without ever repeating in a pattern.
π ≈ 3.1415926535897932384626433832795...
√2 ≈ 1.4142135623730950488016887242097...
e ≈ 1.8281828459045...
etc.

Be sure not to confuse this with numbers like 1/3. One-third is a ratio of integers. And its decimal representation goes on forever (0.3333....) but it has a *repeatable pattern*, so this is NOT an irrational number.

Also, don't confuse these with "imaginary" numbers. These are numbers based on the square root of -1 (i). These are also different than irrational numbers.

Answer 3

An irrational number is a number that cannot be expressed as a fraction for any integers and . Irrational numbers have decimal expansions that neither terminate nor become periodic. Every transcendental number is irrational.

Answer 4

An irrational number is a number that is never ending as a decimal and as a decimal it does not repeat....
example: 0.625625625 is a rational number
0.65432154 (and so on.. never ending) is an irrational number
also pi is an example of an irrational number...

Answer 5

It is a number you cant write as a fraction. Like sqrt(2).

Answer 6

it is a number that doesn't exist

Answer 7

it means it is a non existant number