Find the Exact Value cube root of 8/27

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

Step 1

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

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

Step 2

Simplify the numerator.

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

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

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

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

Step 3

Simplify the denominator.

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

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

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

$\frac{2}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$