To solve [tex]\( \sqrt{40321} \)[/tex], you need to find the principal square root of the number [tex]\( 40321 \)[/tex].
### Step-by-Step Solution:
1. Identify the Problem:
You want to find the square root of [tex]\( 40321 \)[/tex].
2. Apply the Square Root Function:
The square root of a number [tex]\( x \)[/tex], denoted as [tex]\( \sqrt{x} \)[/tex], is a value that, when multiplied by itself, gives [tex]\( x \)[/tex].
3. Calculation:
Computing the square root of [tex]\( 40321 \)[/tex], we find that:
[tex]\[
\sqrt{40321} \approx 200.80089641234176
\][/tex]
4. Result:
Therefore, the square root of [tex]\( 40321 \)[/tex] is approximately [tex]\( 200.80089641234176 \)[/tex].
So,
[tex]\[
\sqrt{40321} \approx 200.80089641234176
\][/tex]
This is the detailed solution to the problem.