what is the importance of rational and irrational numbers?
Some uses of it in our future and day to day life.
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Rationals are important, and real numbers are important. Irrationals are what you get when you take the rationals away from the reals. But that defining property — reals that aren't rational — doesn't leave much for irrational numbers to do. There are few properties, if any, that they have merely by not being rational.
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