What is the result of 7 raised to the third power plus the square root of 39?

To determine the outcome of seven raised to the third power plus the square root of 39, start by calculating each component separately.

First, calculate seven raised to the third power. This means multiplying seven by itself three times:

[

7^3 = 7 \times 7 \times 7 = 49 \times 7 = 343

]

Next, find the square root of 39. While the exact value may not be a whole number, it is approximately:

[

\sqrt{39} \approx 6.244

]

Now, add these two values together:

[

343 + 6.244 \approx 349.244

]

Since the question is likely asking for the nearest whole number, the result rounds to about 349, making the closest answer option C, 349.

The precision of the calculations is vital since minor inaccuracies can impact the final result. In this context, calculating powers and square roots reflects fundamental skills in mathematics critical for aviation maintenance tasks, where precision is essential.