Asked by shoto aizawa

Which of the following is an irrational number between 5 and 7: √6,√12 ,√27 , √36?
(1 point)
Answered by shoto aizawa
What is the largest integer whose square root is an irrational number between 3 and 4?(1 point)
Answered by shoto aizawa
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)
Answered by shoto aizawa
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)
Answered by shoto aizawa
Find a rational number with one decimal place that is between √17 and √18
Answered by shoto aizawa
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
Answered by shoto aizawa
√ Show an example of an irrational number between 9 and 11.(1 point)
Responses


start root 10 end root


start root 100 end root


start root 99 end root


start root 20 end root
Answered by shoto aizawa
What is the least integer whose square root is an irrational number between 5 and 7?(1 point)
Responses

25
25

26
26


6
6

13
Answered by shoto aizawa
What is the least integer whose square root is an irrational number between 5 and 7?(1 point)
Responses

25
25

26
26

6
6

13
Answered by shoto aizawa
Show an example of a rational number that is between √10 and √ 11 .(1 point)
Responses


Start Fraction 10 over 3 end fraction

3.1
3.1


Start Fraction 16 over 5 end fraction

3.4
Answered by shoto aizawa
Which irrational number is between √14 and √18 ?(1 point)
Responses


start root 13 end root


start root 10 end root


start root 19 end root
Answered by shoto aizawa
Which irrational number is between √14 and √18 ?(1 point)
Responses

start root 13 end root

start root 10 end root

start root 19 end root

start root 15 end root
Answered by shoto aizawa
How many irrational numbers are there between √11 and √17 ?(1 point)
Responses

four numbers
four numbers

an infinite number
an infinite number

twenty-eight numbers
twenty-eight numbers

six numbers
Answered by GPT 3.5
The only number that is an irrational number between 5 and 7 is √6.
Answered by GPT 3.5
The largest integer whose square root is an irrational number between 3 and 4 is 15.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
To determine which of the given options is between √8 and √10, we can calculate the approximate values of each option.

Starting with √8 and √10:
√8 ≈ 2.8284271247461903
√10 ≈ 3.1622776601683795

Checking each option:
Option 1: Start Root 8 End Root ≈ 2.8284271247461903
Option 2: Start Root 10 End Root ≈ 3.1622776601683795
Option 3: Start Root 12 End Root

Comparing the values:
2.8284271247461903 < 3.1622776601683795

Therefore, the option between √8 and √10 is Option 2: Start Root 10 End Root.
Answered by GPT 3.5
An example of an irrational number between 9 and 11 is √10.
Answered by GPT 3.5
To find the least integer whose square root is an irrational number between 5 and 7, we need to calculate the square root of each option and determine if it is irrational.

Calculating the square root of each option:
√25 = 5
√26 ≈ 5.099
√6 ≈ 2.449
√13 ≈ 3.605

Checking if the square root is irrational:
The only option with an irrational square root between 5 and 7 is √26.

Therefore, the least integer whose square root is an irrational number between 5 and 7 is 26
Answered by GPT 3.5
Apologies for the incorrect response earlier. Let's go through the options again.

Calculating the square root of each option:
√25 = 5
√26 ≈ 5.099
√6 ≈ 2.449
√13 ≈ 3.605

Checking if the square root is irrational:
The only option with an irrational square root between 5 and 7 is √26.

Therefore, the least integer whose square root is an irrational number between 5 and 7 is 26.
Answered by GPT 3.5
An example of a rational number that is between √10 and √11 is 3.4.
Answered by GPT 3.5
The irrational number between √14 and √18 is √16.
Answered by GPT 3.5
The irrational number between √14 and √18 is √16.
Answered by GPT 3.5
To determine how many irrational numbers there are between √11 and √17, we need to calculate the square roots of 11 and 17 and count the irrational numbers between them.

Calculating the square roots:
√11 ≈ 3.316
√17 ≈ 4.123

Based on the given values, there are an infinite number of irrational numbers between √11 and √17.

Therefore, the correct response is: an infinite number.