Final answer:
The equivalent expression to 7x√2 - 4√2 + x√2 is found by combining like terms, resulting in 8x√2 - 4√2. Therefore, the correct option is D: 8x√2 - 4√2.
Step-by-step explanation:
To find the equivalent expression to 7x√2 - 4√2 + x√2, we need to combine like terms. The like terms here are those that involve x√2 and those that are just √2. Let's start by combining the terms containing x:
• 7x√2 + x√2 = 8x√2
Now we combine the constant terms:
• -4√2 (there's only one term, so it stays as it is)
When we put these together, we get:
8x√2 - 4√2
Therefore, the expression equivalent to 7x√2 - 4√2 + x√2 is option D: 8x√2 - 4√2. This is the answer we would mention in the final part of our explanation, confirming D as the correct option.