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.