To evaluate [tex]\(\sqrt{-75 s}\)[/tex] where [tex]\(s = -3\)[/tex], we need to follow these steps:
1. Substitute the given value of [tex]\(s\)[/tex]:
We are given [tex]\(s = -3\)[/tex]. Substitute this value into the expression [tex]\(-75 s\)[/tex].
[tex]\[
-75 s = -75 \times (-3)
\][/tex]
2. Perform the multiplication:
Multiplying [tex]\(-75\)[/tex] by [tex]\(-3\)[/tex] gives:
[tex]\[
-75 \times (-3) = 225
\][/tex]
3. Evaluate the square root:
Now, we need to find the square root of the result from step 2:
[tex]\[
\sqrt{225}
\][/tex]
4. Determine the square root:
The square root of 225 is:
[tex]\[
\sqrt{225} = 15
\][/tex]
Therefore, the value of [tex]\(\sqrt{-75 s}\)[/tex] when [tex]\(s = -3\)[/tex] is 15.
