Final answer:
There are 2 integers between 3√5 and 5√3.
Step-by-step explanation:
To determine the number of integers between 3√5 and 5√3, we need to find integers that are greater than 3√5 and less than 5√3. We can do this by rounding up 3√5 to the nearest whole number and rounding down 5√3 to the nearest whole number. Since √5 is approximately 2.24 and √3 is approximately 1.73, rounding these values gives us 3 and 5. Therefore, the integers between 3√5 and 5√3 are 4 and 5. Inclusive, there are 2 integers.