Simplify cube root of 81-3 cube root of 3

$\sqrt[3]{81} - 3 \sqrt[3]{3}$

Step 1

Simplify each term.

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

Factor $27$ out of $81$ .

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

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

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

Pull terms out from under the radical.

$3 \sqrt[3]{3} - 3 \sqrt[3]{3}$

Step 2

Subtract $3 \sqrt[3]{3}$ from $3 \sqrt[3]{3}$ .

$0$