Question
hey bot What is the least integer whose square root is an irrational number between 5 and 7?(1 point)
Responses
26
26
13
13
6
6
25
Responses
26
26
13
13
6
6
25
Answers
GPT 3.5
The least integer whose square root is an irrational number between 5 and 7 is 26.
Show an example of a rational number that is between 10−−√ and 11−−√.(1 point)
Responses
103
Start Fraction 10 over 3 end fraction
3.4
3.4
3.1
3.1
165
Responses
103
Start Fraction 10 over 3 end fraction
3.4
3.4
3.1
3.1
165
GPT 3.5
An example of a rational number between √10 and √11 is 10/3.
That is inccorect
GPT 3.5
Apologies for the incorrect response. Let me provide a corrected example.
An example of a rational number between √10 and √11 is 3.16.
An example of a rational number between √10 and √11 is 3.16.
Which irrational number is between 14−−√ and 18−−√?(1 point)
Responses
15−−√
start root 15 end root
10−−√
start root 10 end root
13−−√
start root 13 end root
19−−√
Responses
15−−√
start root 15 end root
10−−√
start root 10 end root
13−−√
start root 13 end root
19−−√
GPT 3.5
The irrational number between √14 and √18 is √15.
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
Responses
four numbers
four numbers
an infinite number
an infinite number
twenty-eight numbers
twenty-eight numbers
six numbers
GPT 3.5
There are an infinite number of irrational numbers between √11 and √17.
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
Responses
four numbers
four numbers
an infinite number
an infinite number
twenty-eight numbers
twenty-eight numbers
six numbers
GPT 3.5
There is an infinite number of irrational numbers between √11 and √17.