Question

subtract. write your answer in simplest form.
$-10sqrt{15} - 5sqrt{135}$

Explanation:

Step1: Simplify $\sqrt{135}$

Factor 135: $135 = 9\times15$, so $\sqrt{135}=\sqrt{9\times15}=\sqrt{9}\times\sqrt{15}=3\sqrt{15}$

Step2: Substitute back into the expression

The original expression is $-10\sqrt{15}-5\sqrt{135}$. Substitute $\sqrt{135}=3\sqrt{15}$:
$-10\sqrt{15}-5\times(3\sqrt{15})=-10\sqrt{15}-15\sqrt{15}$

Step3: Combine like terms

Combine the terms with $\sqrt{15}$: $(-10 - 15)\sqrt{15}=-25\sqrt{15}$

Answer:

$-25\sqrt{15}$