Simplify (3 cube root of 12)÷2 cube root of 3

$3 \sqrt[3]{12} \div 2 \sqrt[3]{3}$

Rewrite the division as a fraction.

$\frac{3 \sqrt[3]{12}}{2 \sqrt[3]{3}}$

Combine $\sqrt[3]{12}$ and $\sqrt[3]{3}$ into a single radical.

$\frac{3 \sqrt[3]{\frac{12}{3}}}{2}$

Cancel the common factor of $12$ and $3$ .

Factor $3$ out of $12$ .

$\frac{3 \sqrt[3]{\frac{3 \cdot 4}{3}}}{2}$

Cancel the common factors.

Factor $3$ out of $3$ .

$\frac{3 \sqrt[3]{\frac{3 \cdot 4}{3 (1)}}}{2}$

Cancel the common factor.

$\frac{3 \sqrt[3]{\frac{3 \cdot 4}{3 \cdot 1}}}{2}$

Rewrite the expression.

$\frac{3 \sqrt[3]{\frac{4}{1}}}{2}$

Divide $4$ by $1$ .

$\frac{3 \sqrt[3]{4}}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{3 \sqrt[3]{4}}{2}$

Decimal Form:

$2.38110157 \dots$