Simplify the Mathematical Expression

The question asks us to simplify the expression $9^2 + 4^2 + \sqrt{36}$. To do this, we need to evaluate each part of the expression separately and then combine the results.

Evaluating the Terms

Let's break down the expression into its components:

• First term: $9^2$ means 9 multiplied by itself. $9^2 = 9 \times 9 = 81$
• Second term: $4^2$ means 4 multiplied by itself. $4^2 = 4 \times 4 = 16$
• Third term: $\sqrt{36}$ is the square root of 36, which is the number that, when multiplied by itself, equals 36. $\sqrt{36} = 6 \quad \text{(since } 6 \times 6 = 36 \text{)}$

Combining the Results

Now, we add the values of each term together:

First, add 81 and 16:

Then, add the result to 6:

Final Simplified Value

The simplified value of the expression $9^2 + 4^2 + \sqrt{36}$ is 103.