Show an example of an irrational number between 9 and 11.(1 point)
Responses
10−−√
start root 10 end root
100−−−√
start root 100 end root
99−−√
start root 99 end root
20−−√
start root 20 end root
What is the least integer whose square root is an irrational number between 5 and 7?(1 point)
Responses
13
13
6
6
26
26
25
25
Show an example of a rational number that is between 10−−√ and 11−−√.(1 point)
Responses
3.1
3.1
103
Start Fraction 10 over 3 end fraction
165
Start Fraction 16 over 5 end fraction
3.4
Start Fraction 10 over 3 end fraction
Which irrational number is between 14−−√ and 18−−√?(1 point)
Responses
10−−√
start root 10 end root
13−−√
start root 13 end root
15−−√
start root 15 end root
19−−√
start root 19 end root
15−−√
start root 15 end root
How many irrational numbers are there between 11−−√ and 17−−√?(1 point)
Responses
twenty-eight numbers
twenty-eight numbers
six numbers
six numbers
an infinite number
an infinite number
four numbers
an infinite number
To find an example of an irrational number between 9 and 11, we need to look for a square root that falls within that range. The square root of 9 is 3, and the square root of 11 is approximately 3.316. So, we need to find a square root that is greater than 3 but less than 3.316.
One example of an irrational number between 9 and 11 is √10, which is the square root of 10. The square root of 10 is approximately 3.162, which falls within the desired range. So, √10 is an example of an irrational number between 9 and 11.