Which of the following is an irrational number between 5 and 7: √6,√12 ,√27 , √36?
(1 point)
The only number that is an irrational number between 5 and 7 is √6.
What is the largest integer whose square root is an irrational number between 3 and 4?(1 point)
The largest integer whose square root is an irrational number between 3 and 4 is 15.
Find a rational number between 2 and using the method of adding the numbers together and dividing by 2. Write the answer as a mixed number.(1 point)
To find a rational number between 2 and 7, we'll add the two numbers together and divide by 2.
Sum of the numbers: 2 + 7 = 9.
Dividing the sum by 2: 9 ÷ 2 = 4.5.
Since 4.5 is not a mixed number, we can convert it to a mixed number by separating the whole number part and the fractional part.
Whole number part: 4.
Fractional part: .5.
Converting the fractional part to a fraction: .5 = 1/2.
Therefore, the rational number between 2 and 7 is 4 1/2.
Find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2. Write the answer as a mixed number.(1 point)
To find a rational number between 2 and 2 1/4, we'll add the two numbers together and divide by 2.
Converting 2 1/4 to an improper fraction: 2 1/4 = 9/4.
Sum of the numbers: 2 + 9/4 = 8/4 + 9/4 = 17/4.
Dividing the sum by 2: (17/4) ÷ 2 = 17/4 ÷ 2/1.
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction: 17/4 ÷ 2/1 = 17/4 * 1/2.
Multiplying the fractions: 17/4 * 1/2 = 17/8.
Now, let's express 17/8 as a mixed number.
Dividing 17 by 8: 17 ÷ 8 = 2 with a remainder of 1.
Therefore, the rational number between 2 and 2 1/4, found by adding the numbers together and dividing by 2, is 2 1/8.
Find a rational number with one decimal place that is between √17 and √18
To find a rational number with one decimal place between √17 and √18, we can add the numbers together and divide by 2.
√17 ≈ 4.123105625617661
√18 ≈ 4.242640687119285
Sum of the numbers: 4.123105625617661 + 4.242640687119285 = 8.365746312736946
Dividing the sum by 2: 8.365746312736946 ÷ 2 ≈ 4.182873156368473
Therefore, a rational number with one decimal place between √17 and √18 is approximately 4.2.
Which of the following is between and ?(1 point)
Responses
Start Root 8 End Root
Start Root 10 End Root
Start Root 12 End Root