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.