Answer: Option A; 10√7 + 8√2.
To simplify the expression 3√28 + 4√7 + 2√32, we can follow these steps:
1. Simplify √28 as 2√7.
2. Simplify √32 as 4√2.
3. Rewrite the expression as 3(2√7) + 4√7 + 2(4√2).
4. Combine like terms to get 6√7 + 4√7 + 8√2.
5. Combine the coefficients: 6 + 4 = 10 for √7, and 8 for √2.
6. The simplified expression is 10√7 + 8√2.
Therefore, the correct answer is option A, 10√7 + 8√2.