The given expression is:

\[
\frac{\sqrt{x}}{\sqrt{x}} - 3
\]

To simplify, first note that for \( x > 0 \), we have:

\[
\frac{\sqrt{x}}{\sqrt{x}} = 1
\]

Thus, the expression simplifies to:

\[
1 - 3 = -2
\]

Therefore, the expression simplifies to a constant value of \(-2\), assuming \( x > 0 \).

### Range:
Since the expression is a constant \(-2\) for all \( x > 0 \), the range of the expression is:

\[
\boxed{-2}
\]

Let me know if you want more details, or if you have questions! Here are five questions related to this concept:

1. What happens to the expression if \( x = 0 \)?
2. What is the domain of the original expression?
3. How do square roots affect the behavior of functions in general?
4. How can this expression change if an additional variable is introduced?
5. How do you determine the range of more complex functions?

**Tip:** Always check the domain of an expression before simplifying it, especially when it involves square roots or division.

Explore the simplification of the expression √x/√x - 3 and determine its range. This problem covers algebraic simplification, square roots, and the concepts of domain and range. Suitable for students in Grades 8-10.

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