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Rational numbers are those that can be expressed as a fraction a/b, where both a and b are integers, and b is different from 0. Integers and whole numbers are rational numbers also.
Irrational numbers are those that cannot be expressed as a fraction, that is, all the numbers that are NOT rational numbers.
Real numbers include the rational and the irrational numbers.
We are given the number:
[tex]\sqrt{11}[/tex]Since 11 is not a perfect square, its square root is classified as irrational. This lets out the possibility of being rational or any of its subsets.
The only correct choices are: Irrational and Real