Estimate the value of 6×2–√ . Which of the following choices is the best estimate?

A 7.1
B 8.4
C 6.4
D 9.8

1 answer

To estimate the value of \( 6 \times 2 - \sqrt{} \), let's break down the expression step by step.

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

  2. Now we have \( 12 - \sqrt{} \), but without a specific value for the square root, we'll estimate \( \sqrt{} \approx 2.5 \) (for √6 since we didn't have a specific number).

  3. Thus, let's proceed to estimate \( 12 - 2.5 \): \[ 12 - 2.5 = 9.5 \]

Now we can compare this estimate to the given options:

  • A) 7.1
  • B) 8.4
  • C) 6.4
  • D) 9.8

The best estimate compared to our calculation \( 9.5 \) is D) 9.8.