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The set of real numbers is defined as the union of all rational and Irrational Numbers. Thus, the irrational numbers are a subset of the real numbers. Therefore, BY DEFINITION, every irrational number is a real number.
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What is a real number is also irrational number?
Every irrational number is a real number.
Is every irrrational number a real number?
Yes every irrational and rational number is a real number.
Does every point on the real number line correspond to an irrational number?
No. It could be a rational or an irrational
Is every irrational number also real?
Yes, every irrational number is also a real number. Real numbers include all the numbers on the number line, which consists of both rational and irrational numbers. Rational numbers can be expressed as fractions, whereas irrational numbers cannot be expressed as simple fractions. So, while all irrational numbers are real numbers, not all real numbers are irrational—some are rational.
Is every real number is either a rational number or an irrational number?
Yes.
