Final answer:
The product of √12 and 7√10 in simplest radical form is 14√30.
Step-by-step explanation:
To find the product of √12 and 7√10 in simplest radical form, we multiply the numbers outside the radical sign (7) and multiply the numbers inside the radical sign (√12 and √10).
√12 can be simplified as 2√3, because 12 can be broken down into 2*2*3.
Similarly, √10 can be simplified as √10, because 10 doesn't have any perfect square factors.
Multiplying 2√3 by 7√10 gives us 14√30.
Therefore, the product of √12 and 7√10 in simplest radical form is 14√30.
Learn more about product of radicals