What is the least integer whose square root is an irrational number between 5 and 7?(1 point)
Responses
13
6
25
26
no, it's 26, because 5 is not _between_ 5 and 7.
You are correct. I apologize for the mistake. The correct answer is indeed 26. Thank you for pointing that out.
To find the least integer whose square root is an irrational number between 5 and 7, we can start by finding the square roots of 5 and 7.
The square root of 5 is approximately 2.236.
The square root of 7 is approximately 2.646.
Now, we need to find the least integer whose square root is between these two values. Since 2.236 is closer to 2 and 2.646 is closer to 3, the integer we are looking for will be between 2 and 3.
The smallest integer greater than 2 is 3.
Therefore, the least integer whose square root is an irrational number between 5 and 7 is 3.
So the correct answer is 3.