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To simplify \(\sqrt{\frac{44}{16}}\), we will break down the expression step-by-step:

1. **Simplify the Fraction**:
   \[
   \frac{44}{16} = \frac{11}{4}
   \]

2. **Apply the Square Root**:
   \[
   \sqrt{\frac{11}{4}} = \frac{\sqrt{11}}{2}
   \]

The simplified form is:
\[
\sqrt{\frac{44}{16}} = \frac{\sqrt{11}}{2}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you find the square root of a fraction in general?
2. Can you simplify \(\sqrt{\frac{75}{25}}\) using a similar method?
3. What are the steps to rationalize a denominator with a square root?
4. How do you simplify \(\sqrt{50}\) to its simplest form?
5. What is the square root of \(\frac{1}{16}\)?

**Tip**: When simplifying square roots of fractions, simplify the fraction first if possible, and then take the square root of both the numerator and the denominator separately.

Learn how to simplify the square root of the fraction 44/16 step-by-step. This problem covers simplifying fractions, properties of square roots, and basic algebra concepts. Suitable for students in Grades 7-9.

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