Finite Math Examples

$\sqrt[3]{8 x} - 8 \sqrt[3]{27 x}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $8$ as $2^{3}$ .

$\sqrt[3]{2^{3} x} - 8 \sqrt[3]{27 x}$

Step 1.2

Pull terms out from under the radical.

$2 \sqrt[3]{x} - 8 \sqrt[3]{27 x}$

Step 1.3

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

$2 \sqrt[3]{x} - 8 \sqrt[3]{3^{3} x}$

Step 1.4

Pull terms out from under the radical.

$2 \sqrt[3]{x} - 8 (3 \sqrt[3]{x})$

Step 1.5

Multiply $3$ by $- 8$ .

$2 \sqrt[3]{x} - 24 \sqrt[3]{x}$

$2 \sqrt[3]{x} - 24 \sqrt[3]{x}$

Step 2

Subtract $24 \sqrt[3]{x}$ from $2 \sqrt[3]{x}$ .

$- 22 \sqrt[3]{x}$

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