which choice is equivalent to the fraction below when x is an appropriate value? sqroot8/sqroot2 - 2

To simplify the expression \(\frac{\sqrt{8}}{\sqrt{2}} - 2\), let's follow these steps:

### Step 1: Simplify the fraction
\[
\frac{\sqrt{8}}{\sqrt{2}} = \sqrt{\frac{8}{2}} = \sqrt{4}
\]
Since \(\sqrt{4} = 2\), the expression simplifies to:
\[
2 - 2
\]

### Step 2: Simplify the entire expression
\[
2 - 2 = 0
\]

### Final Answer:
The expression \(\frac{\sqrt{8}}{\sqrt{2}} - 2\) simplifies to \(0\).

Would you like a further explanation or have any questions?

### Relative Questions:
1. What is the square root of 8 expressed in its simplest radical form?
2. How do you simplify the expression \(\frac{\sqrt{18}}{\sqrt{2}} - 3\)?
3. What is the general process for simplifying a fraction with radicals?
4. Can you simplify the expression \(\frac{\sqrt{12}}{\sqrt{3}} - 1\)?
5. How do you approach similar problems where the radicals involve variables instead of just numbers?

### Tip:
When simplifying fractions involving square roots, always check if the radicals can be simplified first before performing any other operations.

Learn how to simplify the expression sqrt(8)/sqrt(2) - 2 step-by-step with detailed explanations. Understand the process of simplifying fractions involving square roots and performing arithmetic operations with radicals. Suitable for high school students and advanced learners.

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