Question

add. write your answer in simplest form.
-7√2 + 6√2

Explanation:

Step1: Identify like radicals

Both terms have $\sqrt{2}$ as the radical part, so we can combine the coefficients.

Step2: Combine coefficients

Add the coefficients of $\sqrt{2}$: $-7 + 6 = -1$.

Step3: Write the result

Multiply the combined coefficient by $\sqrt{2}$: $-1\times\sqrt{2}=-\sqrt{2}$.

Answer:

$-\sqrt{2}$