Evaluate cube root of 7/27

$\sqrt[3]{\frac{7}{27}}$

Step 1

Rewrite $\sqrt[3]{\frac{7}{27}}$ as $\frac{\sqrt[3]{7}}{\sqrt[3]{27}}$ .

$\frac{\sqrt[3]{7}}{\sqrt[3]{27}}$

Step 2

Simplify the denominator.

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

$\frac{\sqrt[3]{7}}{\sqrt[3]{3^{3}}}$

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

$\frac{\sqrt[3]{7}}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt[3]{7}}{3}$

Decimal Form:

$0.63764372 \dots$