Question

question
express in simplest radical form.
$-6\sqrt{80} - \sqrt{5}$

Explanation:

Step1: Simplify $\sqrt{80}$

Factor 80: $80 = 16\times5$. So $\sqrt{80}=\sqrt{16\times5}=\sqrt{16}\times\sqrt{5}=4\sqrt{5}$ (since $\sqrt{16}=4$).

Step2: Substitute back and simplify the expression

The original expression is $-6\sqrt{80}-\sqrt{5}$. Substitute $\sqrt{80}=4\sqrt{5}$:
$-6\times4\sqrt{5}-\sqrt{5}=-24\sqrt{5}-\sqrt{5}$
Combine like terms: $(-24 - 1)\sqrt{5}=-25\sqrt{5}$

Answer:

$-25\sqrt{5}$