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The Irrational Numbers are real numbers. An irrational number is one that cannot be written as a fraction (ie, they have an infinite, non-repeating sequence of decimal places), such as pi. Most square roots are also irrational, like the square root of 2 for example.
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If a number is a real number then is it also an irrational number?
No. All irrational numbers are real, not all real numbers are irrational.
Are some irrational numbers not real?
No. Irrational numbers by definition fall into the category of Real Numbers.
Are all irrational numbers real number?
All irrational numbers are real, but not all real numbers are irrational.
Is every irrational number a real number and how?
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.
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.
