Final answer:
There is only one whole number value for x in the equation x√x that satisfies the condition of being greater than 8 but less than 10, and that value is 9.
Step-by-step explanation:
The question asks for the possible whole number values of x in the equation x√x where the value is greater than 8 but less than 10. To find the whole number values of x that satisfy this condition, consider the equation x² = √x. Since we know that squaring a positive whole number will result in a greater value and taking the square root of a number should be between 8 and 10, we must find a square root that is within this range. Hence, we can quickly assess that x = 9 is the only whole number that, when squared, would be 81 which is greater than 64 (8²) and less than 100 (10²). Therefore, the only whole number value for x that meets the condition mentioned is 9.