Final answer:
There are 116 non-perfect square numbers between 3364 and 3481. We find this by identifying the two perfect squares within this range (3364 and 3481) and subtracting them from the total number of integers in the range.
Step-by-step explanation:
To determine the number of non-perfect square numbers between 3364 and 3481, we should first find the perfect squares in this range. A perfect square is a number that can be expressed as the product of an integer with itself. For example, 36 is a perfect square because it is 6 times 6.
Here, 3364 is already a perfect square because it is equal to 582. Now, we need to find the next perfect square after 3364. By trial, 592 equals 3481, which is the upper limit of our range. So, we have two perfect squares in this range: 3364 and 3481.
To find the number of non-perfect square numbers, we simply subtract the count of these two perfect squares from the total range. There are 3481 - 3364 + 1 = 118 numbers in total between 3364 and 3481, inclusive. Since we have 2 perfect squares, the number of non-perfect squares is 118 - 2 = 116.
Therefore, there are 116 non-perfect square numbers between 3364 and 3481.