Abstract
An irrational number expressed in decimal form / infinite continued fractions or sum of infinite series of rational numbers, can only evaluate its approximate magnitude, but cannot represent it. There are different kinds of irrational numbers. One of the kinds is generated by extraction of ischolar_mains of the positive rational numbers. The deliberation shows that all irrational numbers of this kind are not of similar category, which has been defined as the ‘order of irrational numbers’.
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