Answer:
[tex]\frac{2}{7}+\sqrt{121}[/tex]
Step-by-step explanation:
Rational Numbers
Rational numbers are those that can be expressed as the fraction
[tex]\frac{a}{b}[/tex]
where a and b are integers and b≠0.
Examples of rational numbers are:
4/3, -100/34, 9, -5, 0
Note the last three numbers are integers but they also can be called rationals because they can be written as 9/1, -5/1, 0/1.
Irrationals are those numbers that cannot be expressed as fractions, i.e. they are not rationals.
Examples of irrational numbers are:
[tex]2\pi,\ \sqrt{5}, \sin 4^\circ[/tex]
Analyzing the available options:
[tex]\sqrt{18}[/tex] is not a rational number because the value of the root is not exact
π and [tex]\sqrt{11}[/tex] are not rational numbers either, but [tex]\sqrt{121}=11[/tex].
Thus the only rational number from the list is
[tex]\mathbf{\frac{2}{7}+\sqrt{121}}[/tex]
