Skip to content
INFINITE SUM
← Paradoxes & riddles

1:48

Why the Square Root of 2 Isn't a Fraction

a proof by contradiction

The square root of 2 is about 1.414. Can it be written exactly as a fraction of two whole numbers?

Source: A classic puzzle, retold by INFINITE SUM and fact-checked against our curated notes

Want another one?

Type the name of a paradox or riddle you've heard of, or browse the rest of the archive.