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QUESTION IMAGE

add. write your answer in simplest form. $-3sqrt{2} + 6sqrt{2}$

Question

add. write your answer in simplest form.
$-3sqrt{2} + 6sqrt{2}$

Explanation:

Step1: Identify like radicals

Both terms have $\sqrt{2}$, so we can combine their coefficients.
The expression is $-3\sqrt{2} + 6\sqrt{2}$.

Step2: Combine coefficients

Add the coefficients of $\sqrt{2}$: $-3 + 6 = 3$.
So, $-3\sqrt{2} + 6\sqrt{2} = 3\sqrt{2}$.

Answer:

$3\sqrt{2}$