We will compute:  

\[
11^2 + 12^2
\]

### Step 1: Compute the squares  
\[
11^2 = 121
\]
\[
12^2 = 144
\]

### Step 2: Add the results  
\[
121 + 144 = 265
\]

Thus,  

\[
11^2 + 12^2 = \mathbf{265}
\]

Would you like a breakdown of how squaring works?  

Here are five related questions:  
1. What is \(13^2 + 14^2\)?  
2. How do you generalize \(a^2 + b^2\) for any numbers \(a\) and \(b\)?  
3. What is the sum of squares formula for the first \(n\) natural numbers?  
4. Can you use the Pythagorean theorem to relate sums of squares to right triangles?  
5. What is the sum of squares of the first 10 positive integers?  

**Tip:** The sum of squares is often used in geometry, statistics, and physics!

Learn how to compute the sum of squares for 11^2 + 12^2 with a step-by-step solution. This problem helps in understanding the concept of squaring numbers and adding them together. Suitable for students in Grades 5-7.

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