What is the least integer whose square root is an irrational number between 5 and 7?(1 point)
Responses
6
6
13
13
26
26
25
25
Show an example of a rational number that is between 10−−√ and 11−−√.(1 point)
Responses
3.4
3.4
165
Start Fraction 16 over 5 end fraction
103
Start Fraction 10 over 3 end fraction
3.1
3.4
To find the least integer whose square root is an irrational number between 5 and 7, we can test the integers one by one.
Let's start by checking the square root of 6:
√6 ≈ 2.44948974278
The square root of 6 is not between 5 and 7, so let's try the next integer.
Next, let's check the square root of 13:
√13 ≈ 3.60555127546
The square root of 13 is also not between 5 and 7, so let's try the next integer.
Next, let's check the square root of 26:
√26 ≈ 5.09901951359
The square root of 26 is still not between 5 and 7, so let's try the next integer.
Finally, let's check the square root of 25:
√25 = 5
The square root of 25 is equal to 5, which is between 5 and 7.
Therefore, the least integer whose square root is an irrational number between 5 and 7 is 25.
So, the answer is 25.