What is the largest integer whose square root is an irrational number between 3 and 4
The largest integer whose square root is an irrational number between 3 and 4 is 15.
To find the largest integer whose square root is an irrational number between 3 and 4, we need to consider the perfect squares that are less than 16 (since the square of 4 is 16).
The perfect squares less than 16 are 1, 4, 9, and 16.
The square roots of these numbers are 1, 2, 3, and 4.
Among these square roots, the largest irrational number between 3 and 4 is √4 = 2.
Therefore, the largest integer whose square root is an irrational number between 3 and 4 is 3.