Question

Which of the following statements are true ? !

Answer 1

ANSWER

Both

`\sqrt{ (1)/(9) } \: \: and \: \: \sqrt{ (49)/(25) }`
are rational.


Step-by-step explanation


Recall that, a rational number can be written in the form

`(a)/(b) \: \: where \: \: b \\e0`
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{ (1)/(9) } = ( √(1) )/( √(9) ) = (1)/(3)`



also,



`\sqrt{ (49)/(25) } = ( √(49) )/( √(25) ) = (7)/(5)`


Therefore the given expressions are all rational.

The correct answer is A.