https://file.aiquickdraw.com/mathbot/file/1726310129398u9skzyg9.jpg

The equation given is:

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

We can simplify the left-hand side:

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

Now, to isolate \(\sqrt{A}\), divide both sides by 2:

\[
\sqrt{A} = \frac{6}{2} = 3
\]

Next, square both sides to eliminate the square root:

\[
A = 3^2 = 9
\]

So, the solution is \( A = 9 \).

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:
1. What happens if you encounter an equation like \(\sqrt{A} + \sqrt{B} = 6\)?
2. How would you solve the equation \(2\sqrt{x} = 10\)?
3. What is the method to simplify equations involving two square roots?
4. How can you graph \(\sqrt{A} + \sqrt{A} = 6\) for visualization?
5. What if the equation were \(\sqrt{A} + \sqrt{B} = C\)? How would the approach change?

**Tip:** Always check your result by plugging it back into the original equation to ensure correctness.

Learn how to solve the equation √A + √A = 6 step-by-step. This problem introduces algebraic manipulation of square roots, simplifying expressions, and solving for A. Suitable for students in Grades 6-8.

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