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

Answer:

$\frac{11}{17}$.

Step-by-step explanation:

Given  : $\frac{121}{289}$.

To find : square root.

Solution : We have given $\sqrt{\frac{121}{289}}$.

We can write the

121 as 11 *11 .

289 as 17 * 17.

By the radical rule : $\sqrt{a*a} =a$.

So, $\sqrt{\frac{11*11}{17*17}}$ = $\frac{11}{17}$.

Therefore, $\frac{11}{17}$.