How do you simplify $\sqrt[3]{- 8000}$ $root3(-8000)$ ?

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Answer 1 · 2016-05-26T03:19:39

-20

Notice that $\sqrt[3]{- 8000} = \sqrt[3]{- 1} \cdot \sqrt[3]{8 \cdot 1000}$ $root3(-8000) = root3(-1)*root3(8*1000)$

$= - 1 \cdot \sqrt[3]{2^{3} \cdot 10^{3}}$ $=-1*root3(2^3*10^3)$

$= - 1 \cdot 2 \cdot 10 = - 20$ $= -1 *2*10 = -20$

How do you simplify 3√−8000root3(-8000)?