Let's solve the expression:

$\sqrt{\frac{81}{9}} - 7$

Step 1: Simplify the square root

$\frac{81}{9} = 9$ Thus, we have: $\sqrt{9} = 3$

Step 2: Subtract 7 from 3

$3 - 7 = -4$

So, the result is $-4$.

Would you like more details or have any questions? Here are some related questions to explore:

1. What is the square root of a fraction like $\sqrt{\frac{25}{4}}$?
2. How do you simplify more complex square roots?
3. Can the square root of a negative number be simplified?
4. What are the properties of square roots in general?
5. How does the square root function behave on a graph?

Tip: Always simplify fractions and square roots before proceeding with other operations.