Question

Find three diffrent irationall number between the rational number is 5/7and 9/11​

Answer 1

Answer:

let us first consider the squares

(5/7)^2 =25/49

(9/11)^2 =81/121

now, we take the L.C.M. of 49 and 121 which is 5929

we make the denominators same

(25*121)/(49*121) = 3025/5929

(81*49)/(121*49) = 3969/5929

now let us choose any 3 numbers in between them

like

3026/5929

3027/5929

3028/5929

now we take the square root of them

$\sqrt{3026} /77\\\sqrt{3027} /77\\\sqrt{3028}/77$