Distances are a continuous variable so they can be infinitely divided as you go smaller and smaller
Like imagine you have a distance of a metre. Then halve it. And again. And again. You can keep halving this distance infinitely and still have it be an actual measurements.
That's what an irrational number is. It just keeps going at the infinitely small level - smaller than atoms, smaller than protons, smaller than electrons, smaller than quarks. Infinitely small. If you think about it, most things are irrational lengths, as if you were to keep going on a smaller and smaller level chances are that it wouldn't land exactly on a micrometre or nanometre or femtometre or so on - it would always be slightly off down to an infinite level.
Pi is a lie?
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