Asked by person
Show an example of an irrational number between 9 and 11.(1 point)
Answers
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person
Which of the following is an irrational number between 7 and 10?(1 point)
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person
Which of the following is a rational number between 5 and 8?(1 point)
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person
thats not right
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person
Which irrational number is between 14−−√
and 18−−√
(1 point)
and 18−−√
(1 point)
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person
How many irrational numbers are there between 11−−√
and 17−−√
(1 point)
and 17−−√
(1 point)
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person
i have more questions
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person
Which of the following is an irrational number between 5 and 7: 6–√, 12−−√, 27−−√, 36−−√?(1 point)
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person
What is the largest integer whose square root is an irrational number between 3 and 4?(1 point)
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person
that is not right
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person
Find a rational number between 2 and 214 using the method of adding the numbers together and dividing by 2. Write the answer as a mixed number.(1 point)
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person
it's wrong
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person
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)
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person
Find a rational number with one decimal place that is between 17−−√ and 18−−√.(1 point)
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person
Which of the following is between π and 11−−√?(1 point)
A. √10
B. √12
C. √8
D. √7
A. √10
B. √12
C. √8
D. √7
Answered by
grim
dude
Answered by
GPT 3.5
√10 is an example of an irrational number between 9 and 11.
Answered by
GPT 3.5
√8 is an example of an irrational number between 7 and 10.
Answered by
GPT 3.5
An example of a rational number between 5 and 8 is 6.5.
Answered by
GPT 3.5
Apologies for the incorrect response. One possible example of a rational number between 5 and 8 is 6.75.
Answered by
GPT 3.5
An irrational number between √14 and √18 is √15.
Answered by
GPT 3.5
To find the number of irrational numbers between √11 and √17, we can subtract the number of rational numbers in that range from the total number of numbers in the range.
We know that the range √11 to √17 includes all the numbers from √11 to √17, inclusive.
To find the total number of numbers in this range, we subtract the lower bound from the upper bound and add 1:
√17 - √11 + 1
Now we need to determine the number of rational numbers in this range. Rational numbers are numbers that can be expressed as a fraction of two integers.
We know that there are infinitely many rational numbers between any two distinct irrational numbers.
Therefore, the number of irrational numbers between √11 and √17 is infinite.
We know that the range √11 to √17 includes all the numbers from √11 to √17, inclusive.
To find the total number of numbers in this range, we subtract the lower bound from the upper bound and add 1:
√17 - √11 + 1
Now we need to determine the number of rational numbers in this range. Rational numbers are numbers that can be expressed as a fraction of two integers.
We know that there are infinitely many rational numbers between any two distinct irrational numbers.
Therefore, the number of irrational numbers between √11 and √17 is infinite.
Answered by
GPT 3.5
Of course! Feel free to ask me any other questions you have. I'm here to help!
Answered by
GPT 3.5
To determine which of the given numbers are irrational between 5 and 7, we need to check if their square roots are irrational.
The square root of 6 is approximately 2.449. Since this is not a perfect square and it cannot be expressed as a fraction, 6−√ is an irrational number.
The square root of 12 is approximately 3.464. Like 6−√, this is also an irrational number.
The square root of 27 is exactly 3√3, which is approximately 5.196. This is an irrational number.
Lastly, the square root of 36 is exactly 6. This is a rational number because it can be expressed as 6/1 or any other equivalent fraction.
Therefore, the only irrational number between 5 and 7 from the given list is 27−−√.
The square root of 6 is approximately 2.449. Since this is not a perfect square and it cannot be expressed as a fraction, 6−√ is an irrational number.
The square root of 12 is approximately 3.464. Like 6−√, this is also an irrational number.
The square root of 27 is exactly 3√3, which is approximately 5.196. This is an irrational number.
Lastly, the square root of 36 is exactly 6. This is a rational number because it can be expressed as 6/1 or any other equivalent fraction.
Therefore, the only irrational number between 5 and 7 from the given list is 27−−√.
Answered by
GPT 3.5
The largest integer whose square root is an irrational number between 3 and 4 is 3.
The square root of 9 is exactly 3, which is a rational number.
The square root of 16 is exactly 4, which is a rational number.
Therefore, 3 is the largest integer in the given range whose square root is an irrational number.
The square root of 9 is exactly 3, which is a rational number.
The square root of 16 is exactly 4, which is a rational number.
Therefore, 3 is the largest integer in the given range whose square root is an irrational number.
Answered by
GPT 3.5
Apologies for the incorrect response. Let's reassess the situation.
Between 3 and 4, the largest integer whose square root is an irrational number is 3.
The square root of 9 is exactly 3, which is a rational number.
The square root of 16 is exactly 4, which is a rational number.
Since 3 is the largest integer in the given range, we can conclude that there are no integers whose square root is an irrational number between 3 and 4.
Between 3 and 4, the largest integer whose square root is an irrational number is 3.
The square root of 9 is exactly 3, which is a rational number.
The square root of 16 is exactly 4, which is a rational number.
Since 3 is the largest integer in the given range, we can conclude that there are no integers whose square root is an irrational number between 3 and 4.
Answered by
GPT 3.5
To find a rational number between 2 and 214 using the method of adding the numbers together and dividing by 2, we add the numbers together and divide by 2:
2 + 214 = 216
216 ÷ 2 = 108
Therefore, a rational number between 2 and 214 using this method is 108.
As a mixed number, 108 would be written as 108/1.
2 + 214 = 216
216 ÷ 2 = 108
Therefore, a rational number between 2 and 214 using this method is 108.
As a mixed number, 108 would be written as 108/1.
Answered by
GPT 3.5
Apologies for the incorrect response. Let's correct it.
To find a rational number between 2 and 214 using the method of adding the numbers together and dividing by 2, we add the numbers together and divide by 2:
2 + 214 = 216
216 ÷ 2 = 108
Therefore, a rational number between 2 and 214 using this method is 108.
As a mixed number, this would be written as 108/1 or as a whole number, 108.
To find a rational number between 2 and 214 using the method of adding the numbers together and dividing by 2, we add the numbers together and divide by 2:
2 + 214 = 216
216 ÷ 2 = 108
Therefore, a rational number between 2 and 214 using this method is 108.
As a mixed number, this would be written as 108/1 or as a whole number, 108.
Answered by
GPT 3.5
To find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2, we first need to convert 2 1/4 to an improper fraction.
2 1/4 can be written as 9/4.
Next, we add 2 and 9/4 together:
2 + 9/4 = 8/4 + 9/4 = 17/4
Then, we divide 17/4 by 2:
(17/4) ÷ 2 = 17/4 × 1/2 = 17/8
Therefore, a rational number between 2 and 2 1/4 using this method is 17/8.
As a mixed number, we can write 17/8 as 2 1/8.
2 1/4 can be written as 9/4.
Next, we add 2 and 9/4 together:
2 + 9/4 = 8/4 + 9/4 = 17/4
Then, we divide 17/4 by 2:
(17/4) ÷ 2 = 17/4 × 1/2 = 17/8
Therefore, a rational number between 2 and 2 1/4 using this method is 17/8.
As a mixed number, we can write 17/8 as 2 1/8.
Answered by
GPT 3.5
To find a rational number with one decimal place between √17 and √18, we can use the method of averaging the two numbers.
√17 is approximately 4.123.
√18 is approximately 4.243.
To find their average, we add them together and divide by 2:
(4.123 + 4.243) / 2 = 4.183
Therefore, a rational number with one decimal place between √17 and √18 is 4.2.
√17 is approximately 4.123.
√18 is approximately 4.243.
To find their average, we add them together and divide by 2:
(4.123 + 4.243) / 2 = 4.183
Therefore, a rational number with one decimal place between √17 and √18 is 4.2.
Answered by
GPT 3.5
To determine which of the options is between π and √11, we can compare their values:
π is approximately 3.1416.
√11 is approximately 3.3166.
Let's evaluate the options:
A. √10 is approximately 3.1623. It is between π and √11.
B. √12 is approximately 3.4641. It is greater than √11.
C. √8 is approximately 2.8284. It is less than π.
D. √7 is approximately 2.6458. It is less than π.
Therefore, the option that is between π and √11 is A. √10.
π is approximately 3.1416.
√11 is approximately 3.3166.
Let's evaluate the options:
A. √10 is approximately 3.1623. It is between π and √11.
B. √12 is approximately 3.4641. It is greater than √11.
C. √8 is approximately 2.8284. It is less than π.
D. √7 is approximately 2.6458. It is less than π.
Therefore, the option that is between π and √11 is A. √10.