document.write( "Question 268924: Are there real numbers that are neither rational nor irrational? If there are, give an example. If not, tell how you know that they do not exist. \n" ); document.write( "
Algebra.Com's Answer #197030 by CharlesG2(834)\"\" \"About 
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Are there real numbers that are neither rational nor irrational? If there are, give an example. If not, tell how you know that they do not exist.\r
\n" ); document.write( "\n" ); document.write( "real number --> set of both the rational numbers (-3/4,-1,2,6/8) and the irrational numbers ( sqrt(2), pi, e )
\n" ); document.write( "rational number --> set of numbers that can be written as the quotient of 2 integers
\n" ); document.write( "irrational number --> numbers that can not be written as the quotient of 2 integers\r
\n" ); document.write( "\n" ); document.write( "complex number --> a+bi where a and b are real numbers and i is defined as the square root of -1, a complex number has a real part and an imaginary part so it is neither rational nor irrational\r
\n" ); document.write( "\n" ); document.write( "so there can not be a real number that is neither rational nor irrational\r
\n" ); document.write( "\n" ); document.write( "there can be a number though that is neither rational nor irrational and that would be the set of complex numbers\r
\n" ); document.write( "\n" ); document.write( "an example: sqrt(-81) = sqrt(9 * 9 * -1) = 9*sqrt(-1) = 9i = 0 + 9i
\n" ); document.write( "(0 is the real part and 9i is the imaginary part)
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