What type of number is this

orlovskihmw

orlovskihmw

Answered question

2022-07-03

What type of number is this 2 2 ?

Answer & Explanation

talhekh

talhekh

Beginner2022-07-04Added 15 answers

Suppose that
2 2 = p q
with p and q integers. Multiply through by 2 to get
2 = 2 p q
That would make 2 be rational, which it's not. So the assumption that 2 2 is rational must be wrong.
More generally: irrational divided by rational is still irrational.

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