What kind of numbers are irrational? provide examples

The type of numbers that are irrational are ones that cant be written as a fraction .

3/2 = 1.5 is a rational because it can be written as a fraction

but example pi= 3.1415926535897932384626433832795 (and more...) which is irrational

In mathematics, an irrational number is a real number that cannot be expressed as a ratio of integers, i.e. as a fraction. Therefore, irrational numbers, when written as decimal numbers, do not terminate, nor do they repeat.
Pi, which begins with 3.14, is one of the most common irrational numbers
e, also known as Euler’s number, is another common irrational number
The Square Root of 2, written as √2, is also an irrational number.
The Golden Ratio, written as a symbol, is an irrational number that begins with 1.61803398874989484820...
Hope this helps.