<PRE><B>Question 265670</B>
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Do you mean the set of numbers that cannot be expressed as the ratio of two integers?  If so that would be the &lt;u&gt;&lt;b&gt;Irrational Numbers&lt;/b&gt;&lt;/u&gt;.  Why?  Because the numbers that &lt;i&gt;can&lt;/i&gt; be expressed as the ratio of two integers are called &lt;u&gt;&lt;b&gt;Rational Numbers&lt;/b&gt;&lt;/u&gt;.  Rational and Irrational as applied to the names of sets of numbers has nothing to do with sanity or the lack thereof.  &lt;u&gt;Ratio&lt;/u&gt;nal numbers are so called because they can be expressed as a &lt;i&gt;ratio&lt;/i&gt; of two integers.


There are two kinds of irrational numbers:  Algebraic and Transcendental.  Algebraic numbers are roots of non-zero polynomial equations in one variable with rational (equivalently integer) coefficients.  Numbers like *[tex \Large \sqrt{2}] are algebraic.  Other irrational numbers, like *[tex \Large \pi] are not roots of such equations and are called transcendental.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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