Evaluate cube root of 27/8

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

Step 1

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

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

Step 2

Simplify the numerator.

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

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

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

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

Step 3

Simplify the denominator.

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

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

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

$\frac{3}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$