To solve the expression [tex]\(\sqrt{(7 + 9)}\)[/tex], we will follow the steps of evaluating the expression inside the square root and then taking the square root.
### Step 1: Evaluate the expression inside the square root
We start with the expression inside the square root:
[tex]\[ 7 + 9 \][/tex]
Next, we add the two numbers together:
[tex]\[ 7 + 9 = 16 \][/tex]
### Step 2: Take the square root of the result
Now, we need to find the square root of [tex]\(16\)[/tex]:
[tex]\[
\sqrt{16} = 4
\][/tex]
So, [tex]\(\sqrt{(7 + 9)}\)[/tex] is equal to [tex]\(4\)[/tex].
Therefore, the value of [tex]\(\sqrt{(7 + 9)}\)[/tex] is [tex]\(\boxed{4}\)[/tex].
