To simplify \( \frac{4}{\sqrt{5}} \):

1. Rationalize the denominator by multiplying the numerator and denominator by \( \sqrt{5} \):

\[
\frac{4}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} = \frac{4\sqrt{5}}{5}
\]

Thus, the simplified form is:

\[
\frac{4\sqrt{5}}{5}
\]

Let me know if you'd like additional explanations or applications!

### Related Questions:
1. How do you simplify \( \frac{3}{\sqrt{7}} \)?
2. What are the steps for rationalizing a denominator?
3. How is \( \sqrt{a} \times \sqrt{b} \) simplified?
4. Why do we rationalize the denominator?
5. Can this concept be extended to higher roots?

**Tip:** Rationalizing the denominator helps in standardizing expressions, making them easier to interpret and compare.

Learn how to simplify and rationalize the fraction 4 ÷ √5. This solution includes the step-by-step process of rationalizing the denominator, key formulas, and relevant mathematical concepts. Perfect for students in Grades 6-8 looking to understand rationalization.

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