To estimate the value of 6×2–√, we can calculate each term separately and then subtract.
First, calculate 6×2: 6×2 = 12.
Next, calculate the square root of 12: √12 ≈ 3.464 (rounded to three decimal places).
Finally, subtract the square root of 12 from 12: 12 - √12 ≈ 8.536 (rounded to three decimal places).
Therefore, the best estimate for the value of 6×2–√ is 8.5.
Among the answer choices provided, the best estimate is 8.4 (option 4).
Estimate the value of 6×2–√. Which of the following choices is the best estimate?
1. 9.8
2. 7.1
3. 6.4
4. 8.4
5 answers
Which statement is true about the square root of 28?
1. It is between 4 and 5, probably closer to 5.
2. It is between 6 and 7, probably closer to 6.
3. It is between 5 and 6, probably closer to 6.
4. It is between 5 and 6, probably closer to 5.
1. It is between 4 and 5, probably closer to 5.
2. It is between 6 and 7, probably closer to 6.
3. It is between 5 and 6, probably closer to 6.
4. It is between 5 and 6, probably closer to 5.
To estimate the value of the square root of 28, we can consider the perfect squares closest to 28, which are 25 and 36.
The square root of 25 is 5, and the square root of 36 is 6. Therefore, the square root of 28 is between 5 and 6.
Since 28 is closer to 25 than it is to 36, the square root of 28 is probably closer to 5 than it is to 6.
Therefore, the statement that is true about the square root of 28 is:
4. It is between 5 and 6, probably closer to 5.
The square root of 25 is 5, and the square root of 36 is 6. Therefore, the square root of 28 is between 5 and 6.
Since 28 is closer to 25 than it is to 36, the square root of 28 is probably closer to 5 than it is to 6.
Therefore, the statement that is true about the square root of 28 is:
4. It is between 5 and 6, probably closer to 5.
Which statement is true about the integer fraction that equals the square root of 2?
1. It requires a computer to find it.
2. It is equal to 1.
3. It involves large numbers.
4. It does not exist.
1. It requires a computer to find it.
2. It is equal to 1.
3. It involves large numbers.
4. It does not exist.
The statement that is true about the integer fraction that equals the square root of 2 is:
4. It does not exist.
The square root of 2 is an irrational number, which means it cannot be expressed as a fraction of two integers. It is a non-repeating and non-terminating decimal. Therefore, there is no integer fraction that equals the square root of 2.
4. It does not exist.
The square root of 2 is an irrational number, which means it cannot be expressed as a fraction of two integers. It is a non-repeating and non-terminating decimal. Therefore, there is no integer fraction that equals the square root of 2.