Question

subtract. write your answer in simplest form.
$-8sqrt{2} - 10sqrt{2}$

Explanation:

Step1: Identify like radicals

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

Step2: Combine coefficients

The coefficients are -8 and -10. Add them: $-8 - 10 = -18$.

Step3: Write the result with the radical

Multiply the combined coefficient by $\sqrt{2}$: $-18\sqrt{2}$.

Answer:

$-18\sqrt{2}$