Question

subtract. write your answer in simplest form.
$-8sqrt{60} - 5sqrt{15}$

Explanation:

Step1: Simplify $\sqrt{60}$

Factor 60: $60 = 4\times15$, so $\sqrt{60}=\sqrt{4\times15}=\sqrt{4}\times\sqrt{15}=2\sqrt{15}$.

Step2: Substitute back into the expression

The original expression is $-8\sqrt{60}-5\sqrt{15}$. Substitute $\sqrt{60}=2\sqrt{15}$:
$-8\times2\sqrt{15}-5\sqrt{15}=-16\sqrt{15}-5\sqrt{15}$.

Step3: Combine like terms

Combine the coefficients of $\sqrt{15}$: $-16 - 5=-21$, so the result is $-21\sqrt{15}$.

Answer:

$-21\sqrt{15}$