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The given expression to simplify is \(\sqrt{\frac{5}{64}}\).

To simplify this, we handle the square root of both the numerator and the denominator separately:

\[
\sqrt{\frac{5}{64}} = \frac{\sqrt{5}}{\sqrt{64}}
\]

We know that:

\[
\sqrt{64} = 8
\]

So the expression simplifies to:

\[
\frac{\sqrt{5}}{8}
\]

The correct answer is \( \boxed{C} \).

Would you like more details, or do you have any questions?

Here are five related questions to deepen your understanding:
1. How do you simplify a fraction inside a square root?
2. Can you simplify \(\sqrt{\frac{a}{b}}\) for any values of \(a\) and \(b\)?
3. What are the steps to simplify \(\sqrt{\frac{9}{25}}\)?
4. What is the square root of a fraction where both numerator and denominator are perfect squares?
5. How would you simplify \(\sqrt{5}\) further, if possible?

**Tip:** When simplifying radicals, treat the numerator and denominator separately for easier computation!

Simplify the radical expression: √(5/64)

Learn how to simplify the radical expression √(5/64) by separating the square root of the numerator and denominator. This problem covers key concepts such as radicals, simplifying square roots, and working with fractions. Suitable for students in Grades 7-9.

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