To solve the expression [tex]\(32 \sqrt{365}\)[/tex], we will follow these steps:
1. Identify the components of the expression:
- The number [tex]\(32\)[/tex].
- The square root of [tex]\(365\)[/tex], denoted as [tex]\(\sqrt{365}\)[/tex].
2. Calculate the square root:
- First, determine the approximate value of [tex]\(\sqrt{365}\)[/tex]. While the exact value may be complex to compute manually, we understand that it is a specific numerical value.
3. Multiply:
- Once we have the approximate value of [tex]\(\sqrt{365}\)[/tex], we simply multiply this value by [tex]\(32\)[/tex].
Following this method, the result of the expression [tex]\(32 \sqrt{365}\)[/tex] is approximately:
[tex]\[ 32 \times \sqrt{365} \approx 611.3591415853696 \][/tex]
Therefore, the value of [tex]\(32 \sqrt{365}\)[/tex] is approximately [tex]\(611.3591415853696\)[/tex].
