We are asked to find the square root of the fraction $\frac{529}{196}$. In other words, we need to evaluate $\sqrt{\frac{529}{196}}$.

1. Problem Description

We are asked to find the square root of the fraction $\frac{529}{196}$. In other words, we need to evaluate $\sqrt{\frac{529}{196}}$.

2. Solution Steps

To find the square root of a fraction, we can take the square root of the numerator and the square root of the denominator separately:

$\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$

So, $\sqrt{\frac{529}{196}} = \frac{\sqrt{529}}{\sqrt{196}}$.

We need to find $\sqrt{529}$ and $\sqrt{196}$.

$\sqrt{529} = 23$ since $23 \times 23 = 529$

$\sqrt{196} = 14$ since $14 \times 14 = 196$

Therefore, $\sqrt{\frac{529}{196}} = \frac{23}{14}$.

3. Final Answer

$\frac{23}{14}$