Question

simplify.
$-sqrt{45} - 4sqrt{80}$

Explanation:

Step1: Simplify each radical term

$-\sqrt{45} = -\sqrt{9 \times 5} = -3\sqrt{5}$
$4\sqrt{80} = 4\sqrt{16 \times 5} = 4 \times 4\sqrt{5} = 16\sqrt{5}$

Step2: Substitute simplified terms back

$-3\sqrt{5} - 16\sqrt{5}$

Step3: Combine like radical terms

$(-3 - 16)\sqrt{5} = -19\sqrt{5}$

Answer:

$-19\sqrt{5}$