Divide ( cube root of 162)/( cube root of 2)

$\frac{\sqrt[3]{162}}{\sqrt[3]{2}}$

Step 1

Combine $\sqrt[3]{162}$ and $\sqrt[3]{2}$ into a single radical.

$\sqrt[3]{\frac{162}{2}}$

Step 2

Divide $162$ by $2$ .

$\sqrt[3]{81}$

Step 3

Rewrite $81$ as $3^{3} \cdot 3$ .

Factor $27$ out of $81$ .

$\sqrt[3]{27 (3)}$

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

$\sqrt[3]{3^{3} \cdot 3}$

Step 4

Pull terms out from under the radical.

$3 \sqrt[3]{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt[3]{3}$

Decimal Form:

$4.32674871 \dots$