Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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Step 1.1.1

Factor $27$ out of $81$ .

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

Step 1.1.2

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

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

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

Step 1.2

Pull terms out from under the radical.

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

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

Step 2

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

$0$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$