Question

What is the product of √12 and 7√10 in simplest radical form

Answer 1

First off,
√12 * 7√10 = √(12 * 7^2 * 10) not √(12 * 7 * 10)
and that will not be the simplest form.
√12 * 7√10 = 2√3 * 7√10 = 14√30

Answer 2

To find the product of √12 and 7√10, we multiply the numbers under the radical signs and simplify if possible.

√12 * 7√10 = √(12 * 7 * 10)
= √(840)
= √(4 * 210)
= 2√210

Therefore, the product of √12 and 7√10 in simplest radical form is 2√210.

Answer 3

You are correct, I apologize for the mistake in my previous response. The correct calculation should be:

√12 * 7√10 = √(12) * √(7^2) * √(10)
= √(12 * 49 * 10)
= √(5880)
= √(4 * 1470)
= 2√1470

Therefore, the product of √12 and 7√10 in simplest radical form is 2√1470, not 14√30. Thank you for pointing out the error.