Simplify Roots 9D9295
1. Let's evaluate each expression step-by-step.
2. For $x = 57$, this is just a value assignment.
3. Evaluate $\frac{2}{\sqrt{8}}$:
- Simplify $\sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2}$.
- So, $\frac{2}{\sqrt{8}} = \frac{2}{2\sqrt{2}} = \frac{1}{\sqrt{2}}$.
- Rationalize the denominator: $\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{2}}{2}$.
4. Evaluate $\sqrt{4}$:
- $\sqrt{4} = 2$.
5. Evaluate $\frac{\sqrt{1}}{4}$:
- $\sqrt{1} = 1$.
- So, $\frac{1}{4} = 0.25$.
6. Evaluate $\frac{\sqrt{4}}{5}$:
- $\sqrt{4} = 2$.
- So, $\frac{2}{5} = 0.4$.
7. Evaluate $\frac{\sqrt{2}}{2}$:
- This is already simplified.
Final answers:
- $\frac{2}{\sqrt{8}} = \frac{\sqrt{2}}{2}$
- $\sqrt{4} = 2$
- $\frac{\sqrt{1}}{4} = 0.25$
- $\frac{\sqrt{4}}{5} = 0.4$
- $\frac{\sqrt{2}}{2}$ remains as is.