Estimate the value of 6×2–√. Which of the following choices is the best estimate?(1 point)
Responses
6.4
6.4
9.8
9.8
8.4
8.4
7.1
To estimate the value of 6×2–√, we need to evaluate the expression.
6×2–√ = 6×2 – √2 = 12 – √2
We need to estimate the value of √2. The square root of 2 is approximately 1.414.
12 – 1.414 ≈ 10.586
Among the given choices, the best estimate for 6×2–√ is 10.6.
Which statement is true about the square root of 28?(1 point)
Responses
It is between 5 and 6, probably closer to 5.
It is between 5 and 6, probably closer to 5.
It is between 5 and 6, probably closer to 6.
It is between 5 and 6, probably closer to 6.
It is between 4 and 5, probably closer to 5.
It is between 4 and 5, probably closer to 5.
It is between 6 and 7, probably closer to 6.
To estimate the value of the square root of 28, we need to find two perfect squares that it lies between. The perfect squares closest to 28 are 25 (5^2) and 36 (6^2).
Since 28 is closer to 25 than to 36, the square root of 28 is closer to 5 than to 6.
Therefore, the statement "It is between 5 and 6, probably closer to 5" is true.
Which statement is true about the integer fraction that equals the square root of 2?(1 point)
Responses
It does not exist.
It does not exist.
It requires a computer to find it.
It requires a computer to find it.
It is equal to 1.
It is equal to 1.
It involves large numbers.
The statement "It does not exist" is true about the integer fraction that equals the square root of 2.
The square root of 2 is an irrational number, which means it cannot be expressed as a fraction (integer or otherwise). It is a non-repeating, non-terminating decimal. Therefore, there is no integer fraction that equals the square root of 2.
come on, bot -- by now you should have learned that many users type 6×2–√ when they mean 6×√2.
My apologies for the confusion. If the expression is 6×√2 instead of 6×2–√, then we can estimate the value.
The square root of 2 is approximately 1.414. Multiplying it by 6 would give us:
6 × 1.414 ≈ 8.484
Among the given choices, the best estimate for 6×√2 is 8.4.