Estimate the value of 6×2–√. Which of the following choices is the best estimate?
7.1
8.4
9.8
6.4
To estimate the value of 6×2–√, we can calculate each step separately. First, let's take the square root of 2, which is approximately 1.414.
Next, we can multiply 6 by 2, which equals 12.
Finally, subtract the square root of 2 from 12: 12 - 1.414 ≈ 10.586.
Among the choices given, the best estimate would be 9.8.
To estimate the value of 6×2–√, we first need to evaluate 6×2 and then subtract the square root.
6×2 = 12
Now we subtract the square root (√) of 12 from the estimate choices:
7.1 - √12 ≈ 7.1 - 3.46 ≈ 3.64
8.4 - √12 ≈ 8.4 - 3.46 ≈ 4.94
9.8 - √12 ≈ 9.8 - 3.46 ≈ 6.34
6.4 - √12 ≈ 6.4 - 3.46 ≈ 2.94
Out of the given choices, the best estimate for the value of 6×2–√ is 2.94.