Simplify the radical expression.

square root of 49 over 81 end root

Group of answer choices

fraction numerator 24.5 over denominator 40.5 end fraction

7 over 9

square root of 7 over 9 end root

The given expression is:

\[
\sqrt{\frac{49}{81}}
\]

To simplify this, we can separate the square root into the numerator and denominator:

\[
\frac{\sqrt{49}}{\sqrt{81}}
\]

Now, simplify each square root:

\[
\sqrt{49} = 7 \quad \text{and} \quad \sqrt{81} = 9
\]

So the expression simplifies to:

\[
\frac{7}{9}
\]

Thus, the correct answer is:

\[
\boxed{\frac{7}{9}}
\]

Would you like more details on this solution or have any questions?

Here are some related questions:
1. How do you simplify other fractional radicals?
2. What is the process for simplifying radicals with variables?
3. Can you simplify \(\sqrt{\frac{16}{25}}\)?
4. How do you rationalize a denominator involving square roots?
5. What happens when the numerator or denominator has no perfect squares?

**Tip:** Always check if both the numerator and the denominator are perfect squares when simplifying radicals.

Simplify the radical expression: square root of 49 over 81 end root.

Learn how to simplify the radical expression \(\sqrt{\frac{49}{81}}\) using the properties of square roots and simplifying fractions. This step-by-step guide is perfect for middle school students in Grades 6-8 looking to understand radicals better.

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