1. The problem is to evaluate the expression $25^{\frac{1}{2}}$. 2. Recall that raising a number to the power of $\frac{1}{2}$ is equivalent to taking the square root of that number. 3. So, $25^{\frac{1}{2}} = \sqrt{25}$. 4. The square root of 25 is 5 because $5 \times 5 = 25$. 5. Therefore, the value of $25^{\frac{1}{2}}$ is 5.