ANSWER
Both
[tex] \sqrt{ \frac{1}{9} } \: \: and \: \: \sqrt{ \frac{49}{25} } [/tex]
are rational.
EXPLANATION
Recall that, a rational number can be written in the form
[tex] \frac{a}{b} \: \: where \: \: b \ne0[/tex]
and also, a and b, are integers.
This means that, if the expression can be written as a common fraction, then it is a rational number.
Let us see whether we can rewrite the given expressions as common fractions.
[tex] \sqrt{ \frac{1}{9} } = \frac{ \sqrt{1} }{ \sqrt{9} } = \frac{1}{3} [/tex]
also,
[tex] \sqrt{ \frac{49}{25} } = \frac{ \sqrt{49} }{ \sqrt{25} } = \frac{7}{5} [/tex]
Therefore the given expressions are all rational.
The correct answer is A.
