Sure, let's break this problem down step-by-step:
Step 1: Identify the key elements of the problem.
We are given the expression [tex]\( 49 \sqrt{6229} \)[/tex]. To solve this, we need to first find the square root of the number 6229 and then multiply it by 49.
Step 2: Calculate the square root of 6229.
The square root of 6229 is approximately 78.92401408950256.
Step 3: Multiply the result by 49.
Now, take the square root we found and multiply it by 49:
[tex]\[ 49 \times 78.92401408950256 = 3867.2766903856254 \][/tex]
Step 4: Summarize the final result.
Hence, the value of [tex]\( 49 \sqrt{6229} \)[/tex] is approximately 3867.2766903856254.
So the solution, step-by-step, is:
1. Calculate [tex]\( \sqrt{6229} \approx 78.92401408950256 \)[/tex].
2. Multiply this result by 49 to get [tex]\( 49 \times 78.92401408950256 \approx 3867.2766903856254 \)[/tex].
Therefore, [tex]\( 49 \sqrt{6229} \approx 3867.2766903856254 \)[/tex].
