https://file.aiquickdraw.com/mathbot/file/1725854670419veyadb0s.jpg

It appears that the image contains a math problem. I'll transcribe it and work through the solution:

The expression is:

\[
7 \sqrt{3}^2
\]

with the following answer choices:

- A) \( 10 + 18\sqrt{3} \)
- B) \( 52 + 14\sqrt{3} \)
- C) \( 69 + 18\sqrt{3} \)
- D) \( 52 + 7\sqrt{3} \)

### Step-by-step solution:

1. First, simplify the expression \( 7 \sqrt{3}^2 \). We know that:

\[
\sqrt{3}^2 = 3
\]

So the expression becomes:

\[
7 \times 3 = 21
\]

Thus, the simplified expression is \( 21 \).

Now, we match this with the answer choices, keeping in mind that none of the answer choices explicitly show \( 21 \), but they involve different constants and multiples of \( \sqrt{3} \).

- The correct approach now involves comparing how these choices might be intended to manipulate or combine with additional information.

Would you like further clarification, or should we break down the choices more thoroughly?

Here are five related questions:
1. What is the value of \( \sqrt{3} \)?
2. How do you simplify expressions with square roots?
3. What happens when you square a square root?
4. How do you solve expressions involving radicals?
5. Why do some problems combine radicals and constants?

**Tip:** Always simplify square roots as much as possible before matching answer choices in multiple-choice questions.

Simplify the expression 7 * sqrt(3)^2 and find the corresponding answer from the given choices.

Learn how to simplify the expression 7 * sqrt(3)^2 with a detailed step-by-step solution. This problem involves key mathematical concepts such as simplification of square roots and basic multiplication, suitable for students in Grades 6-8.

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