To simplify the expression [tex]\( \sqrt{-x^2 + 25} \)[/tex], follow these steps:
1. Identify the Expression Inside the Square Root:
The expression inside the square root is [tex]\( -x^2 + 25 \)[/tex].
2. Rearrange the Expression Inside the Square Root:
Notice that [tex]\( -x^2 + 25 \)[/tex] can be rewritten by rearranging the terms to:
[tex]\[
25 - x^2
\][/tex]
3. Substitute Back into the Square Root:
Substitute the rearranged expression back into the square root, giving:
[tex]\[
\sqrt{25 - x^2}
\][/tex]
Therefore, the simplified expression is:
[tex]\[
\sqrt{25 - x^2}
\][/tex]
