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Irrational Numbers and the Real Number Line in Algebra

What makes a real number irrational, why numbers such as sqrt(2) and pi are not ratios of integers, and how the rationals sit densely inside the real line.

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Rational vs Irrational Numbers Explained in Mathematics

Rational and irrational numbers constitute distinct subsets within the real number system defined by their representability as ratios of integers (fractions). A rational number's decimal expansion is…

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