Question

Which of the following statements is true?

√1/9 irrational and √49/25 is rational
both √1/9 and √49/25 are rational
both √1/9 and √49/25 are irrational
√1/9 rational and √1/9 and √49/25 is irrational

Answer 1

Which of the following statements is true?

√1/9 irrational and √49/25 is rational Not True

both √1/9 and √49/25 are rational True

both √1/9 and √49/25 are irrational Not True

√1/9 rational and √1/9 and √49/25 is irrational Not True

Answer 2

2nd Option is correct.

Explanation:

Given Numbers are
`\sqrt{(1)/(9)}\:\:and\:\:\sqrt{(49)/(25)}`

To find True Statement.

First we simplify the given numbers,

`\sqrt{(1)/(9)}=(1)/(3)`

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

Clearly we see both given number turned out to be a rational number.

Therefore, 2nd Option is correct.