https://file.aiquickdraw.com/mathbot/file/1726727459312th0jh2u1.jpg

The extracted mathematical expression from the image is:

\[
\sqrt{108 \cdot 110 \cdot 112 \cdot 114 + 16}
\]

I'll now compute the value of this expression.The result of the expression \(\sqrt{108 \cdot 110 \cdot 112 \cdot 114 + 16}\) is:

\[
\boxed{12316.0}
\]

Would you like further details or explanations about the steps? Here are some related questions for practice:

1. How do you compute the square root of a large number manually?
2. What are the properties of square roots that simplify certain expressions?
3. How does order of operations (PEMDAS) affect the computation of complex expressions?
4. Can you break down the factors in a multiplication problem for simplification?
5. How does small numerical adjustments (like adding 16) affect the outcome in large product-based expressions?

**Tip:** Breaking down multiplication into smaller parts or looking for common factors can simplify complex calculations!

Learn how to compute the square root of a large product of numbers (108 * 110 * 112 * 114) plus 16. This solution involves key mathematical concepts such as multiplication, square roots, and order of operations, suitable for students in Grades 9-12.

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