Question

subtract. write your answer in simplest form.
$4\sqrt{2}-8\sqrt{2}$

Explanation:

Step1: Identify like radicals

Both terms have $\sqrt{2}$, so we can factor it out.
Expression: $4\sqrt{2} - 8\sqrt{2}=(4 - 8)\sqrt{2}$

Step2: Subtract the coefficients

Calculate $4 - 8$.
Expression: $(4 - 8)\sqrt{2}=-4\sqrt{2}$

Answer:

$-4\sqrt{2}$