The problem asks us to evaluate the square root of a fraction: $\sqrt{\frac{529}{196}}$.

1. Problem Description

The problem asks us to evaluate the square root of a fraction: $\sqrt{\frac{529}{196}}$.

2. Solution Steps

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

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

Thus, we have:

$\sqrt{\frac{529}{196}} = \frac{\sqrt{529}}{\sqrt{196}}$

We know that $\sqrt{196} = 14$ because $14 \times 14 = 196$.

We also know that $\sqrt{529} = 23$ because $23 \times 23 = 529$.

Therefore:

$\sqrt{\frac{529}{196}} = \frac{23}{14}$

3. Final Answer

$\frac{23}{14}$