Question

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−−√

Answer 1

What is the least integer whose square root is an irrational number between 5 and 7?(1 point)
26
25
6
13

Answer 2

Show an example of a rational number that is between 10−−√ and 11−−√.(1 point)
Responses

16/5
3.4
3.1
103

Answer 3

thats wrong

Answer 4

whats all the examples of rational number that is between 10−−√ and 11−−√.

Answer 5

Which irrational number is between 14−−√ and 18−−√?(1 point)
Responses

19−−√
10−−√
15−−√
13−−√

Answer 6

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.

Answer 7

The least integer whose square root is an irrational number between 5 and 7 is 26.

Answer 8

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−−√.

Answer 9

Apologies for the incorrect response.

One example of a rational number between 10−−√ and 11−−√ is 3.2.

Answer 10

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−−√.

Answer 11

To determine which irrational number is between 14−−√ and 18−−√, we need to approximate their values.

Calculating the square root of each number:

14−−√ ≈ 3.741
18−−√ ≈ 4.243

We can see that the two irrational numbers are approximately 3.741 and 4.243.

Therefore, the irrational number that is between 14−−√ and 18−−√ is approximately 4−−√.