Question

Estimate the value of 6×2–√
. Which of the following choices is the best estimate?(1 point)
Responses

9.8
9.8

6.4
6.4

7.1
7.1

8.4
8.4

Answer 1

To estimate the value of \(6 \times 2 - \sqrt{}\), we first need to clarify the expression. Assuming the expression represents \(6 \times 2 - \sqrt{?}\), the missing part for the square root is not specified. However, if we assume the square root is \(0\) for estimation purposes, we would calculate:

\[
6 \times 2 - \sqrt{0} = 12 - 0 = 12
\]

Since none of the choices match 12, let’s investigate a more general form. If we assume the root could represent \(4\):

\[
6 \times 2 - \sqrt{4} = 12 - 2 = 10
\]

If we consider \( \sqrt{9} \):

\[
6 \times 2 - \sqrt{9} = 12 - 3 = 9
\]

If we consider \( \sqrt{16} \):

\[
6 \times 2 - \sqrt{16} = 12 - 4 = 8
\]

Now, without knowing the number under the square root, let’s estimate:

- If \( \sqrt{\text{a number}} \) is reasonably between \(0\) and \(4\), the value we would compute would fall roughly between \(8\) and \(12\).

From the choices:

- **9.8**
- **6.4**
- **7.1**
- **8.4**

Given this, **8.4** would be the best estimate if we assume a moderate square root value.

So, the best estimate is: **8.4**.