Question

Square root of 121/289

Answer 1

Note that both 121 and 289 are perfect fractions: 121 = 11^2 and 289 = 17^2.

Thus,

121 11^2

------- = ---------- = (11/17)^2.

289 17^2

The square root of this is merely 11/17.

Answer 2

`(11)/(17)`.

Explanation:

Given :
`(121)/(289)`.

To find : square root.

Solution : We have given
`\sqrt{(121)/(289)}`.

We can write the

121 as 11 *11 .

289 as 17 * 17.

By the radical rule :
`√(a*a) =a`.

So,
`\sqrt{(11*11)/(17*17)}` =
`(11)/(17)`.

Therefore,
`(11)/(17)`.