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I don't understand what you mean by deeper, but the cardinality of Irrational Numbers, Aleph-One, is greater than the cardinality of rationals, Aleph-Null. That is to say, there are more irrational numbers than rationals.

[If you treat infinity as a number, there are infinity to the power of infinity irrational numbers compared with "just infinity" for rationals.]

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Q: How does rational numbers is deeper than irrational numbers?
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