Alright, let's work through this problem step-by-step to find the value of [tex]\(\frac{\sqrt{41.5 + 0.59}}{4.95}\)[/tex].
1. Add the numbers inside the square root:
[tex]\[
41.5 + 0.59 = 42.09
\][/tex]
2. Find the square root of the sum:
[tex]\[
\sqrt{42.09} \approx 6.487680633323438
\][/tex]
3. Divide the square root by the given denominator:
[tex]\[
\frac{6.487680633323438}{4.95} \approx 1.3106425521865532
\][/tex]
Therefore, the final value, with all the digits as seen on your calculator display, is approximately
[tex]\[
1.3106425521865532
\][/tex]
