The expression you've provided is:

\[
\frac{\sqrt{x^2}}{\sqrt{x}} + \frac{2}{\sqrt{x}}
\]

Let's simplify it step by step.

1. **Simplifying the first term**: \(\frac{\sqrt{x^2}}{\sqrt{x}}\)
   - \(\sqrt{x^2} = x\), so this becomes \(\frac{x}{\sqrt{x}}\).
   - \(\frac{x}{\sqrt{x}} = \sqrt{x}\) (because \(x = \sqrt{x} \cdot \sqrt{x}\)).

2. **Simplifying the second term**: \(\frac{2}{\sqrt{x}}\)

   This term stays as it is.

Now the expression is:

\[
\sqrt{x} + \frac{2}{\sqrt{x}}
\]

This is the simplified form of your expression.

If you'd like to further manipulate it or solve for specific values, feel free to ask!

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Do you have any questions or would you like more details?  
Here are 5 related questions you might find helpful:

1. How do you rationalize a denominator with a square root?
2. Can this expression be simplified further if given specific values for \(x\)?
3. What happens if \(x\) is a negative number in this context?
4. How does simplifying square roots work for more complex expressions?
5. Can this expression be rewritten as a single fraction?

**Tip:** Whenever simplifying expressions with square roots, look for opportunities to cancel terms or combine like terms to make the expression more manageable!

Learn how to simplify the expression √x²/√x + 2/√x with step-by-step instructions. This problem involves key algebraic concepts such as square roots and radical simplification. Suitable for students in Grades 8-10.

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