Final Answer:
The integer between the square root of -9 and 3/2 is -3.
Step-by-step explanation:
Firstly, consider the square root of -9. The square root of a negative number involves complex numbers. For -9, the square root is 3i, where 'i' represents the imaginary unit.
Next, evaluate 3/2. This is a rational number lying between 1 and 2, closer to 2 than to 1.
Now, to find an integer between these two values, we compare them. Comparing 3i (from the square root of -9) to 3/2, it's evident that -3 lies between them on the number line.
Therefore, -3 is the integer that fulfills the condition. In summary, when comparing the square root of -9 (which is 3i) and 3/2, -3 is the integer that fits between them on the number line, making it the answer.