1. Stating the problem: Evaluate the expressions \(\sqrt{\frac{3}{4}}\), \sqrt{2}\), and \(\sqrt{25}\). 2. Formula and rules: The square root of a fraction \(\sqrt{\frac{a}{b}}\) equals \(\frac{\sqrt{a}}{\sqrt{b}}\). The square root of a perfect square \(n^2\) is \(n\). 3. Evaluate each expression: - \(\sqrt{\frac{3}{4}} = \frac{\sqrt{3}}{\sqrt{4}} = \frac{\sqrt{3}}{2}\) - \(\sqrt{2}\) is an irrational number approximately equal to 1.414 - \(\sqrt{25} = 5\) because 25 is a perfect square Final answers: \[\sqrt{\frac{3}{4}} = \frac{\sqrt{3}}{2}, \quad \sqrt{2} \approx 1.414, \quad \sqrt{25} = 5\]