How do you simplify $\frac{1}{\sqrt[3]{6}}$ $1/root3(6)$ ?

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How do you simplify $\frac{1}{\sqrt[3]{6}}$ $1/root3(6)$ ?

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Answer 1 · 2015-10-10T13:05:56

$\frac{\sqrt[3]{36}}{6}$ $root(3)(36)/6$

Explanation:

Rationalization:

$\frac{1}{\sqrt[3]{6}} = \frac{1}{\sqrt[3]{6}} \cdot \frac{\sqrt[3]{6^{2}}}{\sqrt[3]{6^{2}}} = \frac{\sqrt[3]{6^{2}}}{\sqrt[3]{6^{3}}} = \frac{\sqrt[3]{6^{2}}}{6} = \frac{\sqrt[3]{36}}{6}$ $1/root(3)(6)=1/root(3)(6) * root(3)(6^2)/root(3)(6^2)=root(3)(6^2)/root(3)(6^3)=root(3)(6^2)/6=root(3)(36)/6$

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How do you simplify $\frac{1}{\sqrt[3]{6}}$ $1/root3(6)$ ?

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