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The image contains a mathematical expression involving square roots and variables. I will transcribe the equation step by step for clarity:

\[
\sqrt{a + 6} = n \quad \text{(where n = 3)}
\]

To solve this equation for \(a\), follow these steps:

### Step 1: Square both sides
Squaring both sides of the equation to eliminate the square root:

\[
(\sqrt{a + 6})^2 = 3^2
\]

This simplifies to:

\[
a + 6 = 9
\]

### Step 2: Solve for \(a\)
Now, subtract 6 from both sides:

\[
a = 9 - 6
\]

\[
a = 3
\]

### Final Answer:
The value of \(a\) is **3**.

---

Would you like more details or have any questions about the steps?

Here are 5 related questions you might find useful:
1. What if \(n\) was another number besides 3? How would the solution change?
2. How would the equation change if there were more terms inside the square root?
3. Can this process be generalized for any equation of the form \(\sqrt{x + b} = c\)?
4. What happens if the square root term is negative?
5. How does squaring both sides of an equation affect inequalities?

**Tip:** When solving square root equations, always check for extraneous solutions by substituting the value back into the original equation.

Solve the equation \(\sqrt{a + 6} = n\), where \(n = 3\).

Learn how to solve the square root equation \(\sqrt{a + 6} = 3\) by squaring both sides and isolating the variable. A step-by-step explanation suitable for students in Grades 6-8.

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