# How do you simplify root3(-8000)?

May 26, 2016

Notice that $\sqrt[3]{- 8000} = \sqrt[3]{- 1} \cdot \sqrt[3]{8 \cdot 1000}$
$= - 1 \cdot \sqrt[3]{{2}^{3} \cdot {10}^{3}}$
$= - 1 \cdot 2 \cdot 10 = - 20$