Editing Positional notation (section)

==== Irrational numbers ====
{{main|irrational number}}
A (real) irrational number has an infinite non-repeating representation in all integer bases.<ref>{{Cite web |date=2024-04-10 |title=Irrational Numbers: Definition, Examples and Properties |url=https://flamath.com/en/irrational-numbers#:~:text=The%20main%20characteristic%20of%20irrational%20numbers%20is%20that,number%20where%20a%20group%20of%20digits%20repeats%20constantly. |access-date=2024-08-22 |website=flamath.com |language=en-US}}</ref>

Examples are the non-solvable [[nth root|''n''th roots]]
: <math>y = \sqrt[n]{x} </math>
with <math>y^n = x</math> and {{math|''y'' ∉ '''Q'''}}, numbers which are called [[algebraic number|algebraic]], or numbers like
:<math>\pi,e</math>
which are [[transcendental number|transcendental]]. The number of transcendentals is [[uncountable]] and the sole way to write them down with a finite number of symbols is to give them a symbol or a finite sequence of symbols.