To solve the expression [tex]\(\sqrt[4]{(384.5)^2}\)[/tex], follow these steps:
### Step 1: Square the Number
First, we need to square the number 384.5.
[tex]\[
384.5^2
\][/tex]
When we square 384.5, we get:
[tex]\[
384.5 \times 384.5 = 147840.25
\][/tex]
### Step 2: Take the Fourth Root
Next, we need to take the fourth root of the result obtained from squaring 384.5. So, we have:
[tex]\[
\sqrt[4]{147840.25}
\][/tex]
The fourth root of 147840.25 is:
[tex]\[
19.60867155112758
\][/tex]
### Final Answer
Thus, the value of [tex]\(\sqrt[4]{(384.5)^2}\)[/tex] is:
[tex]\[
19.60867155112758
\][/tex]
