Simplify (6 cube root of 24)/(2 cube root of 2)

$\frac{6 \sqrt[3]{24}}{2 \sqrt[3]{2}}$

Step 1

Cancel the common factor of $6$ and $2$ .

Factor $2$ out of $6 \sqrt[3]{24}$ .

$\frac{2 (3 \sqrt[3]{24})}{2 \sqrt[3]{2}}$

Cancel the common factors.

Factor $2$ out of $2 \sqrt[3]{2}$ .

$\frac{2 (3 \sqrt[3]{24})}{2 (\sqrt[3]{2})}$

Cancel the common factor.

$\frac{2 (3 \sqrt[3]{24})}{2 \sqrt[3]{2}}$

Rewrite the expression.

$\frac{3 \sqrt[3]{24}}{\sqrt[3]{2}}$

Step 2

Combine $\sqrt[3]{24}$ and $\sqrt[3]{2}$ into a single radical.

$3 \sqrt[3]{\frac{24}{2}}$

Step 3

Divide $24$ by $2$ .

$3 \sqrt[3]{12}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt[3]{12}$

Decimal Form:

$6.86828545 \dots$