It has nothing to do with decimal systems or irrational numbers. It is impossible to exactly build something to any number. Choose 1. Can't do it, not with perf

It has nothing to do with decimal systems or irrational numbers. It is impossible to exactly build something to any number. Choose 1. Can't do it, not with perfect accuracy. It's no harder to make something exactly the golden ratio than to make it pi, sqrt(2), or 6.