Final answer:
The product of 2√7 and 10√21 in simplest radical form is 140√3.
Step-by-step explanation:
The product of 2√7 and 10√21 in simplest radical form can be found by multiplying the coefficients (2 and 10) and the radicals (√7 and √21) together. First, let's simplify the radicals. We notice that √21 can be broken down into √7 * √3. So the expression becomes:
2√7 * 10√(7*3)
Which simplifies to:
2 * 10 * √7 * √7 * √3
Since √7 * √7 is 7, the expression further simplifies to:
20 * 7 * √3
This gives us the final product of:
140√3