https://file.aiquickdraw.com/mathbot/file/1726630653088kx676mel.jpg

The expression in the image is:

\[
\sqrt{13^2 - 4 \cdot 1 \cdot 36}
\]

Let's solve this step by step:

1. First, calculate \(13^2\):
   \[
   13^2 = 169
   \]

2. Now, calculate \(4 \cdot 1 \cdot 36\):
   \[
   4 \cdot 1 \cdot 36 = 144
   \]

3. Subtract \(144\) from \(169\):
   \[
   169 - 144 = 25
   \]

4. Finally, take the square root of \(25\):
   \[
   \sqrt{25} = 5
   \]

The solution to the expression is:

\[
5
\]

Would you like more details or have any questions?

Here are 5 related questions to explore further:

1. What is the significance of square roots in algebraic equations?
2. How would the result change if one of the factors in the expression were altered?
3. Can you apply this method to solve quadratic equations?
4. What happens if the number under the square root is negative?
5. How can we use this type of problem to better understand the discriminant in quadratic formulas?

**Tip:** When solving expressions under a square root, always calculate carefully to avoid errors before applying the root!

Learn how to solve the algebraic expression √(13² - 4 * 1 * 36) with detailed steps. This problem introduces key concepts like square roots, algebraic simplifications, and quadratic expressions. Suitable for students in Grades 8-10.

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