Final answer:
The value of √73 lies between the whole numbers 8 and 9. The determination is made by finding the perfect squares closest to 73, which are 64 (8²) and 81 (9²).
Step-by-step explanation:
The value of √73 would be between two whole numbers that are the perfect squares closest to 73. First, find the square of the whole numbers that are immediately less and more than the square root of 73 to determine the two whole numbers you are looking for.
Since 8² = 64 and 9² = 81, we know that √73 is between 8 and 9 because 64 is the largest perfect square less than 73, and 81 is the smallest perfect square greater than 73.
Therefore, the two whole numbers that the value of √73 would be in between are 8 and 9.