The square root of any integer (except for a perfect square) is an irrational number. Other well-known Irrational Numbers are pi = 3.14159265... and e = 2.71828...
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They are real numbers.
No. Irrational numbers by definition fall into the category of Real Numbers.
There are numbers which cannot be expressed as ratios of two integers. These are called irrational numbers.
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.
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.