The problem requires us to find the square root of the fraction $\frac{625}{1296}$.

1. Problem Description

The problem requires us to find the square root of the fraction $\frac{625}{1296}$.

2. Solution Steps

First, we find the square root of the numerator,

6

2

5. $25 \times 25 = 625$. So, $\sqrt{625} = 25$.

Next, we find the square root of the denominator,

1

2

9

6. $36 \times 36 = 1296$. So, $\sqrt{1296} = 36$.

Now, we can write the square root of the fraction as the fraction of the square roots:

$\sqrt{\frac{625}{1296}} = \frac{\sqrt{625}}{\sqrt{1296}} = \frac{25}{36}$.

3. Final Answer

$\frac{25}{36}$