Answer :

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.