Let's break down the expression step by step:
1. Identify the square root:
We start by calculating the square root of 16. The square root of a number [tex]\(x\)[/tex] is a value that, when multiplied by itself, gives [tex]\(x\)[/tex]. Therefore, we need to find a number which, when squared, will yield 16.
[tex]\[
\sqrt{16} = 4
\][/tex]
2. Square the result:
Now, we take the result from the first step and square it. Squaring a number means multiplying the number by itself.
[tex]\[
4^2 = 4 \times 4 = 16
\][/tex]
So, when we simplify the expression [tex]\((\sqrt{16})^2\)[/tex], it simplifies to 16.
The final answer is:
[tex]\[
(\sqrt{16})^2 = 16
\][/tex]
