Calculate the Square Root cube root of 32/108

$\sqrt[3]{\frac{32}{108}}$

Cancel the common factor of $32$ and $108$ .

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Factor $4$ out of $32$ .

$\sqrt[3]{\frac{4 (8)}{108}}$

Cancel the common factors.

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Factor $4$ out of $108$ .

$\sqrt[3]{\frac{4 \cdot 8}{4 \cdot 27}}$

Cancel the common factor.

$\sqrt[3]{\frac{4 \cdot 8}{4 \cdot 27}}$

Rewrite the expression.

$\sqrt[3]{\frac{8}{27}}$

Rewrite $\sqrt[3]{\frac{8}{27}}$ as $\frac{\sqrt[3]{8}}{\sqrt[3]{27}}$ .

$\frac{\sqrt[3]{8}}{\sqrt[3]{27}}$

Simplify the numerator.

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Rewrite $8$ as $2^{3}$ .

$\frac{\sqrt[3]{2^{3}}}{\sqrt[3]{27}}$

Pull terms out from under the radical, assuming real numbers.

$\frac{2}{\sqrt[3]{27}}$

Simplify the denominator.

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Rewrite $27$ as $3^{3}$ .

$\frac{2}{\sqrt[3]{3^{3}}}$

Pull terms out from under the radical, assuming real numbers.

$\frac{2}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$

Calculate the Square Root cube root of 32/108