Final answer:
The value of 10√10 is approximately 3.1623.
Step-by-step explanation:
The value of √10 is approximately 3.1623.
To find the approximate value of √10, we can use the concept of integer powers. Since the exponent is 1/2, we can rewrite the square root as a fractional power: 101/2. Taking the square root of the digit term (10) gives us 3, and dividing the exponential term by 2 gives us 1/2.
Therefore, the value of 10√10 is approximately 3.1623.