Subjects algebra

Simplify Roots 9D9295

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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.