The given expression is \( \sqrt{\dfrac{49}{81}} \).

To solve this:

1. The square root of a fraction can be written as the square root of the numerator divided by the square root of the denominator:

\[
\sqrt{\dfrac{49}{81}} = \dfrac{\sqrt{49}}{\sqrt{81}}
\]

2. Now, calculate the square roots:

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

3. Therefore:

\[
\sqrt{\dfrac{49}{81}} = \dfrac{7}{9}
\]

So, \( \sqrt{\dfrac{49}{81}} = \dfrac{7}{9} \).

Do you want details or have any questions? 

Here are 5 related questions you might find useful:
1. What is \( \sqrt{\dfrac{16}{25}} \)?
2. Simplify \( \sqrt{\dfrac{64}{100}} \).
3. Calculate \( \sqrt{\dfrac{36}{49}} \).
4. Find the value of \( \dfrac{\sqrt{25}}{\sqrt{81}} \).
5. What is \( \dfrac{9}{7} \times \sqrt{\dfrac{49}{81}} \)?

**Tip:** To simplify square roots of fractions, remember to take the square root of the numerator and denominator separately.

Discover how to simplify the square root of the fraction \( \sqrt{\dfrac{49}{81}} \) with a clear, step-by-step solution. This guide covers key mathematical concepts including square roots and fractions, making it perfect for students in Grades 6-8.

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