The expression \( \frac{5}{\sqrt{29}} \) can be simplified by rationalizing the denominator. Rationalizing the denominator means eliminating the square root in the denominator by multiplying both the numerator and the denominator by the square root that is present in the denominator.

Here's how you do it:

\[
\frac{5}{\sqrt{29}} \times \frac{\sqrt{29}}{\sqrt{29}} = \frac{5\sqrt{29}}{29}
\]

So, the simplified form of \( \frac{5}{\sqrt{29}} \) is:

\[
\frac{5\sqrt{29}}{29}
\]

Would you like more details or have any questions?

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Here are 8 related questions:

1. How would you simplify \( \frac{7}{\sqrt{13}} \)?
2. What is the value of \( \frac{5\sqrt{29}}{29} \) as a decimal?
3. How do you rationalize the denominator for \( \frac{8}{\sqrt{17}} \)?
4. What is the simplified form of \( \frac{10}{\sqrt{45}} \)?
5. How would you simplify \( \frac{12}{\sqrt{50}} \)?
6. What is the rationalized form of \( \frac{3\sqrt{7}}{\sqrt{2}} \)?
7. Can you simplify \( \frac{9}{\sqrt{18}} \) further after rationalizing the denominator?
8. What is \( \frac{2}{\sqrt{5}} \) in its simplest form?

**Tip:** Rationalizing the denominator is a useful algebraic technique for simplifying expressions, especially when dealing with square roots in fractions.

Learn how to simplify the expression \( \frac{5}{\sqrt{29}} \) by rationalizing the denominator step-by-step. This problem involves rationalization of square roots in fractions, suitable for advanced high school students.

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