Irrational numbers represented in real life?

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Irrational numbers cannot be represented in the real physical world, I’ve been told. So my question is: if I have a one meter by one meter square of wood, which is a perfect square precisely to the atom, is its diagonal length not sqrt2?

In: Mathematics

5 Answers

Anonymous 0 Comments

Atoms are almost entirely empty space so the effective size of an atom is debatable, and the *exact* dimension of an object is neither stable nor measurable.

Decimal points of irrational numbers can be calculated out long past the point where they have any useful application. You don’t need 10^100 non-repeating digits of sqrt(2) for any real purpose, the universe itself is less precise.

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