Evaluate cube root of 7/8

$\sqrt[3]{\frac{7}{8}}$

Step 1

Rewrite $\sqrt[3]{\frac{7}{8}}$ as $\frac{\sqrt[3]{7}}{\sqrt[3]{8}}$ .

$\frac{\sqrt[3]{7}}{\sqrt[3]{8}}$

Step 2

Simplify the denominator.

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

$\frac{\sqrt[3]{7}}{\sqrt[3]{2^{3}}}$

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

$\frac{\sqrt[3]{7}}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt[3]{7}}{2}$

Decimal Form:

$0.95646559 \dots$