What is the largest integer whose square root is an irrational number between 3 and 4? (1 point)
The largest integer whose square root is an irrational number between 3 and 4 is $\boxed{15}$. We can determine this by noting that $\sqrt{15} \approx 3.87$, which is between 3 and 4, and there is no larger integer whose square root falls within this range.
To find the largest integer whose square root is an irrational number between 3 and 4, we need to determine the largest perfect square that is less than the upper limit.
The largest perfect square less than 4 is 3^2 = 9.
So, the largest integer whose square root is an irrational number between 3 and 4 is 9.
To find the largest integer whose square root is an irrational number between 3 and 4, we need to find the largest perfect square less than 3^2 and the smallest perfect square greater than 4^2.
The largest perfect square less than 3^2 is 2^2 = 4. The smallest perfect square greater than 4^2 is 5^2 = 25.
Now, we can find the largest integer whose square root is an irrational number between 3 and 4 by taking the square root of the largest perfect square less than 3^2, which is √4 = 2.
Therefore, the largest integer whose square root is an irrational number between 3 and 4 is 2.