To solve the expression [tex]\( 64 \sqrt{5231.24} \)[/tex], we can break it down into a series of manageable steps.
### Step-by-Step Solution:
1. Find the square root of 5231.24:
The first step is to determine the square root of the number 5231.24. This value is an irrational number but we can use the precision value stated to get:
[tex]\[
\sqrt{5231.24} \approx 72.32731157730115
\][/tex]
2. Multiply by 64:
Once we have the square root of 5231.24, the next step is to multiply this result by 64:
[tex]\[
64 \times 72.32731157730115 \approx 4628.947940947273
\][/tex]
### Conclusion:
Thus, the steps lead to the conclusion that [tex]\( 64 \sqrt{5231.24} \approx 4628.947940947273 \)[/tex].
Therefore, the value of [tex]\( 64 \sqrt{5231.24} \)[/tex] is approximately [tex]\( 4628.947940947273 \)[/tex].
