Michelle is thinking of a rational number that is an integer.
Integers are the whole numbers that are positive or negative
Integers does not include fractions
[tex]\frac{-10}{7}[/tex] is a fraction so it is not an integer
[tex]\sqrt{\frac{15}{4}}[/tex], we cannot simplify square root (15) so this is not an integer.
0.2 is a decimal so 0.2 is not an integer
[tex]\sqrt{\frac{100}{25}}[/tex]
Square root (100)= 10
square root (25) = 5
So [tex]\sqrt{\frac{100}{25}}[/tex] becomes [tex]\frac{10}{5}[/tex] = 2
2 is an integer
So option A is correct