Show an example of an irrational number between 9 and 11.(1 point)
Find a rational number between 2 and 214
10−−√
99−−√
100−−−√
20−−√
10−−√ is an irrational number between 9 and 11.
To find a rational number between 2 and 214, we can take the average of the two numbers:
Average = (2 + 214)/2 = 216/2 = 108
108 is a rational number between 2 and 214.
What is the least integer whose square root is an irrational number between 5 and 7?(1 point)
26
25
6
13
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
16/5
3.4
3.1
103
To find a rational number between 10−−√ and 11−−√, we can take their average:
(10−−√ + 11−−√)/2
This simplifies to:
(10−−√ + 11−−√)/2 = (10+11)/2 = 21/2 = 10.5
Therefore, 10.5 is a rational number that is between 10−−√ and 11−−√.
thats wrong
Apologies for the incorrect response.
One example of a rational number between 10−−√ and 11−−√ is 3.2.
whats all the examples of rational number that is between 10−−√ and 11−−√.
To find all the rational numbers between 10−−√ and 11−−√, we can generate a few examples by expressing them as decimals:
- 3.14
- 3.141
- 3.1415
- 3.14159
- 3.141592 ...
- and so on.
Note that these are just a few examples, and there are an infinite number of rational numbers between 10−−√ and 11−−√.
Which irrational number is between 14−−√ and 18−−√?(1 point)
Responses
19−−√
10−−√
15−−√
13−−√