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we know that
A Rational Number can be made by dividing two integers
so
In this problem
[tex]\begin{gathered} \sqrt{9=3} \\ 3=\frac{3}{1}\text{ -----}\longrightarrow\text{ is a rational number} \end{gathered}[/tex]0.38=38/100 ------> is a rational number
1/3 -----> is a rational number
[tex]\sqrt{2=}1.414213\text{..}[/tex]is not a rational number
answer option A