5. a) \( \frac{\sqrt{81}}{\sqrt{16}} \) c) \( \sqrt{49} \)

Calculate the value by following steps: - step0: Calculate: \(\sqrt{49}\) - step1: Write in exponential form: \(\sqrt{7^{2}}\) - step2: Simplify the root: \(7\) Calculate or simplify the expression \( \frac{\sqrt{81}}{\sqrt{16}} \). Calculate the value by following steps: - step0: Calculate: \(\frac{\sqrt{81}}{\sqrt{16}}\) - step1: Simplify the root: \(\frac{9}{\sqrt{16}}\) - step2: Simplify the root: \(\frac{9}{4}\) Let's solve the expressions step by step. ### a) \( \frac{\sqrt{81}}{\sqrt{16}} \) 1. **Calculate the square roots:** - \( \sqrt{81} = 9 \) - \( \sqrt{16} = 4 \) 2. **Divide the results:** \[ \frac{9}{4} \] The simplified form of \( \frac{\sqrt{81}}{\sqrt{16}} \) is \( \frac{9}{4} \) or \( 2.25 \). ### c) \( \sqrt{49} \) 1. **Calculate the square root:** - \( \sqrt{49} = 7 \) Thus, the simplified form of \( \sqrt{49} \) is \( 7 \). ### Final Results: - a) \( \frac{\sqrt{81}}{\sqrt{16}} = \frac{9}{4} \) or \( 2.25 \) - c) \( \sqrt{49} = 7 \)