Show an example of an irrational number between 9 and 11.(1 point)
Responses
99−−√
start root 99 end root
10−−√
start root 10 end root
20−−√
start root 20 end root
100−−−√
start root 100 end root
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
26
Show an example of a rational number that is between 10−−√ and 11−−√.(1 point)
Responses
3.4
3.4
3.1
3.1
165
Start Fraction 16 over 5 end fraction
103
3.4
Which irrational number is between 14−−√ and 18−−√?(1 point)
Responses
10−−√
start root 10 end root
15−−√
start root 15 end root
19−−√
start root 19 end root
13−−√
15−−√
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
four numbers
To find an example of an irrational number between 9 and 11, we can look for the square root of a number that falls within this range.
Let's check the square root of a few numbers:
√99 ≈ 9.95
√10 ≈ 3.16
√20 ≈ 4.47
√100 = 10
From these options, the number √10 is the only one that falls between 9 and 11. Therefore, an example of an irrational number between 9 and 11 is √10 (approximately 3.16).