Estimate the value of 6×2–√. Which of the following choices is the best estimate?(1 point)
Responses
7.1
6.4
8.4
9.8
To estimate the value of 6×2–√, we can calculate the square root of 2, which is approximately 1.41, and then multiply it by 6.
6 × 1.41 ≈ 8.46
Therefore, the best estimate would be 8.4.
To calculate the value of 6×2–√, we can follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
However, the expression 6×2–√ seems to be incomplete. There is no value or operation after the square root symbol (√). Please provide the complete expression so I can help you with the calculation.
To estimate the value of the expression 6×2–√, we can first simplify the expression by calculating 6×2 and then subtracting the square root of it.
Step 1: Calculate 6×2
6×2 = 12
Step 2: Subtract the square root of 12
To find the square root, we can use a calculator or estimate the value. Since the square root of 12 is between 3 and 4 (3.46 to be more precise), we can estimate it to be around 3.5.
Now, let's subtract the square root of 12 from 6×2:
12 - √12 ≈ 12 - 3.5 = 8.5
Out of the given choices, the best estimate for 6×2–√ would be 8.4, as it is the closest value to our estimated result of 8.5.