Show an example of an irrational number between 9 and 11.(1 point)
Responses
10−−√
start root 10 end root
99−−√
start root 99 end root
100−−−√
start root 100 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
6
13
26
25
25
Show an example of a rational number that is between 10−−√ and 11−−√.(1 point)
Responses
3.4
103
Start Fraction 10 over 3 end fraction
3.1
165
Start Fraction 10 over 3 end fraction
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−−√
13−−√
(start root 13 end root)
How many irrational numbers are there between 11−−√ and 17−−√?(1 point)
Responses
an infinite number
twenty-eight numbers
six numbers
four numbers
an infinite number
To find an example of an irrational number between 9 and 11, we can consider the square root of a number. An irrational number is a number that cannot be expressed as a fraction of two integers, and the square root of a non-perfect square is typically an irrational number.
Therefore, let's look for the square root of a number between 9 and 11:
sqrt(10)
The square root of 10 is an irrational number and falls between 9 and 11.