Which of the following is between pi and sqrt 11?
The number between π and √11 is √11, since π ≈ 3.14159 and √11 ≈ 3.31662, and √11 is greater than π.
Which of the following is between pi and sqrt 11?
A. sqrt 7
B. sqrt 12
C. sqrt 10
D. sqrt 8
To determine which number is between π and √11, we need to compare the values of each given option.
A. √7 ≈ 2.64575
B. √12 ≈ 3.46410
C. √10 ≈ 3.16228
D. √8 ≈ 2.82843
Comparing these values with π ≈ 3.14159 and √11 ≈ 3.31662, we find that option C (√10 ≈ 3.16228) is the number between π and √11.
Show an example of an irrational number between 9 and 11.(1 point)
One example of an irrational number between 9 and 11 is √10.
√10 ≈ 3.16228
Since √10 is irrational, it cannot be expressed as a fraction or a terminating or repeating decimal. Therefore, √10 is an example of an irrational number between 9 and 11.
Which of the following is an irrational number between 7 and 10?(1 point)
One example of an irrational number between 7 and 10 is √8.
√8 ≈ 2.82843
Since √8 is an irrational number, it cannot be expressed as a fraction or a terminating or repeating decimal. Therefore, √8 is an example of an irrational number between 7 and 10.
Which of the following is a rational number between 5 and 8?(1 point)
To find a rational number between 5 and 8, we can choose a fraction. One example is 6.5, which can be written as the fraction 13/2.
So, the rational number between 5 and 8 is 6.5 or 13/2.
Which of the following is a rational number between 5 and 8?(1 point)
A. sqrt 28
B. sqrt 36
C. sqrt 40
D. sqrt 80
To determine which of the given options is a rational number between 5 and 8, we need to check if the square root of these numbers is rational.
A. √28 ≈ 5.2915
B. √36 = 6
C. √40 ≈ 6.3246
D. √80 ≈ 8.9443
Out of the options provided, only option B (√36 = 6) is a rational number between 5 and 8.
Which irrational number is between sqrt 14 and sqrt 18?
A. sqrt 10
B. sqrt 15
C. sqrt 19
D. sqrt 13
To determine which irrational number is between √14 and √18, we need to compare the values of the given options.
A. √10 ≈ 3.16228
B. √15 ≈ 3.87298
C. √19 ≈ 4.35889
D. √13 ≈ 3.60555
Comparing these values with √14 ≈ 3.74166 and √18 ≈ 4.24264, we find that option D (√13 ≈ 3.60555) is the irrational number between √14 and √18.
How many irrational numbers are there between sqrt 11 and sqrt 17?
A. six numbers
B. twenty eight numbers
C. Four numbers
D. an infinite number
There are an infinite number of irrational numbers between √11 and √17.
The set of irrational numbers is uncountable and goes on infinitely in every direction. Therefore, there is no finite number of irrational numbers between two given values.