https://file.aiquickdraw.com/mathbot/file/1726308123410mko7800d.jpg

The equation given is:

\[
\sqrt{A} + \sqrt{A} = 6
\]

### Step-by-step solution:

1. Combine like terms on the left-hand side:

\[
2\sqrt{A} = 6
\]

2. Divide both sides by 2:

\[
\sqrt{A} = 3
\]

3. Square both sides to eliminate the square root:

\[
A = 3^2 = 9
\]

### Final answer:
\[
A = 9
\]

Would you like more details or explanations on any part of the solution?

Here are some related questions:
1. How do you simplify square roots in algebra?
2. What are some properties of square roots and radicals?
3. Can you explain how to solve similar equations with multiple variables?
4. How does squaring both sides affect an equation?
5. How would the solution change if the equation involved different coefficients?

**Tip:** Always check your solution by substituting the result back into the original equation to ensure it satisfies the equation!

Learn how to solve the algebraic equation √A + √A = 6 with a detailed step-by-step solution. This problem involves simplifying square roots, combining like terms, and solving for the variable A. Suitable for students in Grades 7-9.

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