Show an example of an irrational number between 9 and 11.
Responses
100−−−√
start root 100 end root
99−−√
start root 99 end root
20−−√
start root 20 end root
10−−√
start root 10 end root
What is the least integer whose square root is an irrational number between 5 and 7?
Responses
26
26
6
6
25
25
13
13
Show an example of a rational number that is between 10−−√ and 11−−√.
Responses
3.1
3.1
165
Start Fraction 16 over 5 end fraction
3.4
3.4
103
Start Fraction 16 over 5 end fraction
Which irrational number is between 14−−√ and 18−−√?
Responses
13−−√
start root 13 end root
10−−√
start root 10 end root
15−−√
start root 15 end root
19−−√
15−−√
start root 15 end root
How many irrational numbers are there between 11−−√ and 17−−√?
Responses
an infinite number
an infinite number
four numbers
four numbers
six numbers
six numbers
twenty-eight numbers
an infinite number
To find an example of an irrational number between 9 and 11, we need to look for a number whose square root is not a whole number or a fraction. We can use the square root function (√) to find such a number.
One way to find an irrational number between 9 and 11 is to take the square root of a non-perfect square within that range. Let's consider 10, which is not a perfect square.
To calculate the square root of 10, we can write it as √10. Using a calculator or a math tool, we find that the square root of 10 is approximately 3.16227766...
Therefore, we can express an irrational number between 9 and 11 as √10, which is approximately 3.16227766.