The expression \( \frac{5}{\sqrt{5}} \) can be simplified. Here's the step-by-step process:

1. **Rationalize the denominator**: To eliminate the square root in the denominator, multiply both the numerator and the denominator by \( \sqrt{5} \):

\[
\frac{5}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} = \frac{5 \times \sqrt{5}}{5}
\]

2. **Simplify**: The \( 5 \) in the numerator and denominator cancel out:

\[
\frac{5 \times \sqrt{5}}{5} = \sqrt{5}
\]

So, \( \frac{5}{\sqrt{5}} \) simplifies to \( \sqrt{5} \).

Would you like more details or have any questions about this? Here are some related questions you might consider:

1. What is the process for rationalizing more complex denominators?
2. How would you simplify an expression like \( \frac{a}{\sqrt{b}} \)?
3. What are the general steps for simplifying square root expressions?
4. How does rationalizing the denominator affect the value of an expression?
5. Can you apply this technique to a binomial denominator like \( \frac{1}{1+\sqrt{2}} \)?

**Tip:** Always remember that simplifying square roots often involves rationalizing the denominator, especially when dealing with fractions.

Learn how to simplify the expression \( \frac{5}{\sqrt{5}} \) to \( \sqrt{5} \) step-by-step. Understand the process of rationalizing denominators and simplifying square roots. Suitable for high school students and those interested in algebraic simplification.

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