Final answer:
The expression 7x√2 - 4√2 + x√2 simplifies to 8x√2 - 4√2, which is option D.
Step-by-step explanation:
The question is asking to simplify the expression 7x√2 - 4√2 + x√2. To simplify, we combine like terms. The like terms in this expression are the terms that have both an x and a square root of 2, which are 7x√2 and x√2.
Adding these together gives us 7x√2 + x√2 = 8x√2. We also have the term -4√2 which does not combine with the other terms because it does not have an x. The simplified expression is then 8x√2 - 4√2, which corresponds to option D.