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Q: Why binomial series does not hold for irrational numbers?
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Is this statement true All real numbers are irrational numbers?

No. The statement is wrong. It does not hold water.


Why isn't an irrational number included in the Venn diagram of Families of numbers?

An irrational number is included in the Venn diagram of real numbers. The subsets of the set of the real numbers are: The set of all natural numbers, N; the set of all whole numbers, W; the set of all integers, I; the set of all rational numbers, Q; and the set of all irrational numbers, S. It is obvious that N is a subset of W, W is a subset of I, and I is a subset of Q, but similar relationship doesn't hold between Q and S. However, this fact does not mean that irrational numbers are not in the Venn diagram, because they are also real numbers as well.


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How did binomial nomenclature avoid the problems of the first attempts of scientific naming?

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