Question

Estimate the value of 6×2–√ . Which of the following choices is the best estimate?(1 point) Responses
A 6.4
B 9.8
C 7.1
D 8.4

Answer 1

I'm pretty sure that the user meant 6×√2 = 6x1.4 = 8.4
so, D

Answer 2

To estimate the value of \( 6 \times 2 - \sqrt{} \), we need to clarify what the expression is. Assuming you mean \( 6 \times 2 - \sqrt{2} \), we can calculate it as follows:

1. Calculate \( 6 \times 2 = 12 \).
2. Estimate \( \sqrt{2} \). The approximate value of \( \sqrt{2} \) is about 1.4.
3. Now, subtract:

\[
12 - \sqrt{2} \approx 12 - 1.4 = 10.6.
\]

This estimated result (10.6), however, is not present in the answer choices. If we consider it might be \( 6 \times 2 - 2 \):

1. Calculate \( 6 \times 2 = 12 \).
2. Subtract 2:

\[
12 - 2 = 10.
\]

This also does not match the answer choices.

If we convert \( 6 \times 2 - \sqrt{9} \):

1. Calculate \( 6 \times 2 = 12 \).
2. Since \( \sqrt{9} = 3 \):
\[
12 - 3 = 9.
\]

This closer matches to option (B) 9.8 given that \( 6 \times 2 - \sqrt{x} \) can produce a closer approximate lower number, assuming a misunderstanding in the initial equation. Therefore:

The best choice from the provided options appears to be:

**B 9.8**

Answer 3

Thank you for the clarification! If we indeed interpret the expression as \( 6 \times \sqrt{2} \):

1. Calculate \( 6 \times \sqrt{2} \).
2. Using the approximate value of \( \sqrt{2} \approx 1.4 \), we get:

\[
6 \times \sqrt{2} \approx 6 \times 1.4 = 8.4.
\]

So the value would be approximately 8.4, which matches option D.

Therefore, the best estimate is indeed **D 8.4**. Thank you for your input!