Estimate the value of 6×2–√

. Which of the following choices is the best estimate?(1 point)
Responses

7.1
7.1

9.8
9.8

6.4
6.4

8.4

1 answer

To estimate the value of \( 6 \times 2 - \sqrt{} \), we first need to clarify what is being calculated. If we assume you meant \( 6 \times 2 - \sqrt{n} \) for some number \( n \), we need to know the value of \( \sqrt{n} \) to perform the calculation.

However, if we just evaluate \( 6 \times 2 \):

\[ 6 \times 2 = 12 \]

Then we can proceed to estimate \( \sqrt{n} \) based on typical values.

If we choose \( n = 16 \), then:

\[ \sqrt{16} = 4 \] \[ 12 - 4 = 8 \]

If \( n = 25 \):

\[ \sqrt{25} = 5 \] \[ 12 - 5 = 7 \]

If \( n = 36 \):

\[ \sqrt{36} = 6 \] \[ 12 - 6 = 6 \]

These values lead us to think \( 12 - \sqrt{n} \) might produce results ranging around \( 6 \) to \( 8 \).

Without specific information on \( n \), we cannot calculate an exact value. However, the best estimates above, depending on our choice of \( n \), suggest that your choices provided could potentially include any answer here. Based on these estimates, 8.4 seems closest to a reasonable estimation based on typical values of \( n \).

So, the best estimate among the provided choices could be 8.4.