Question

subtract. write your answer in simplest form.
$-8sqrt{2} - 7sqrt{2}$

Explanation:

Step1: Identify like radicals

Both terms have the radical $\sqrt{2}$, so we can combine the coefficients.
The expression is $-8\sqrt{2}-7\sqrt{2}$.

Step2: Combine the coefficients

We add the coefficients of the like radicals. The coefficients are -8 and -7.
So, $(-8 - 7)\sqrt{2}$.

Step3: Calculate the sum of coefficients

$-8 - 7=-15$.
So the result is $-15\sqrt{2}$.

Answer:

$-15\sqrt{2}$