Define Irrational Numbers.
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irrational number, any real number that cannot be expressed as the quotient of two integers. For example, there is no number among integers and fractions that equals the square root of 2. ... Each irrational number can be expressed as an infinite decimal expansion with no regularly repeating digit or group of digits.
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An integer is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+1/2, and √2 are not.
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