Question

Find an approximation to four decimal places of π+3–√
.(1 point)
Responses

1.73206
1.73206

4.8737
4.8737

3.14159
3.14159

4.8736

Answer 1

To find an approximation of \( \pi + 3 - \sqrt{3} \), we can use known approximate values:

- \( \pi \approx 3.1416 \)
- \( \sqrt{3} \approx 1.7321 \)

Now, let's calculate it:

\[
\pi + 3 - \sqrt{3} \approx 3.1416 + 3 - 1.7321
\]

Calculating:

\[
\pi + 3 \approx 3.1416 + 3 = 6.1416
\]
\[
6.1416 - 1.7321 \approx 4.4095
\]

So, the approximate value of \( \pi + 3 - \sqrt{3} \) is around 4.4095.

Looking at the provided options, the closest one is:

**4.8737**

However, if the prompt indicates using four decimal places, we can check for any calculation perceived errors. Calculating again:

Using \( 3 + \pi - \sqrt{3} \):

1. \( \pi \approx 3.1416 \)
2. \( \sqrt{3} \approx 1.7321 \)

Thus we recalculate:

\[
3.1416 + 3 - 1.7321 \approx 4.4095
\]

None in the options directly matches, but we might be prompted to confirm validations or additional choices.

The responses available suggest more needed on the operation or parameters if confirming selection choice is necessary.

But based on the numbers, none of those seem to reflect the proper approximated outcome of \( 4.4095 \).

To summarize, the closest valid selections may remain reassured but not matching physically. Make sure the accurate input details align correctly!