# How do you simplify  root 3 (0.001x^3)?

May 23, 2018

$\frac{x}{10}$
Re-write number under root symbol as $0.001 {x}^{3} = {x}^{3} / 1000 = {x}^{3} / {10}^{3}$
Now apply $\sqrt[n]{\frac{a}{b}} = \frac{\sqrt[n]{a}}{\sqrt[n]{b}}$
$\sqrt[3]{{x}^{3} / {10}^{3}} = \frac{x}{10}$