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The image shows a question asking to find the square roots of given fractions. Let's solve each of them step by step:

1. **(a) \( \frac{25}{36} \)**:  
   The square root of a fraction is the square root of the numerator and the denominator separately.  
   \[
   \sqrt{\frac{25}{36}} = \frac{\sqrt{25}}{\sqrt{36}} = \frac{5}{6}
   \]

2. **(b) \( \frac{81}{121} \)**:  
   \[
   \sqrt{\frac{81}{121}} = \frac{\sqrt{81}}{\sqrt{121}} = \frac{9}{11}
   \]

3. **(c) \( \frac{729}{1681} \)**:  
   \[
   \sqrt{\frac{729}{1681}} = \frac{\sqrt{729}}{\sqrt{1681}} = \frac{27}{41}
   \]

4. **(d) \( \frac{2209}{5041} \)**:  
   \[
   \sqrt{\frac{2209}{5041}} = \frac{\sqrt{2209}}{\sqrt{5041}} = \frac{47}{71}
   \]

Would you like more details or further explanations on any of the steps? Here are five related questions to explore:

1. What is the general formula for finding the square root of a fraction?
2. Can all fractions have a rational square root?
3. How do you simplify a square root expression if the fraction is not a perfect square?
4. What is the connection between the square root and exponentiation?
5. Can you apply this method to square roots of decimals?

**Tip**: To simplify more complex square roots, factor both the numerator and the denominator to identify perfect squares.

Find the square roots of the following fractions: (a) 25/36, (b) 81/121, (c) 729/1681, (d) 2209/5041.

Learn how to find the square roots of fractions such as 25/36, 81/121, 729/1681, and 2209/5041 with step-by-step solutions. This math problem explores key concepts in algebra and fraction simplification, ideal for students in Grades 7-9.

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