Question

Which of the following statements are true ? !

Answer 1

ANSWER

Both
$\sqrt{ \frac{1}{9} } \: \: and \: \: \sqrt{ \frac{49}{25} }$
are rational.


EXPLANATION


Recall that, a rational number can be written in the form
$\frac{a}{b} \: \: where \: \: b \ne0$
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.


$\sqrt{ \frac{1}{9} } = \frac{ \sqrt{1} }{ \sqrt{9} } = \frac{1}{3}$



also,


$\sqrt{ \frac{49}{25} } = \frac{ \sqrt{49} }{ \sqrt{25} } = \frac{7}{5}$


Therefore the given expressions are all rational.

The correct answer is A.