Linear Algebra Examples

$4 \sqrt[3]{24}$

Step 1

Rewrite $24$ as $2^{3} \cdot 3$ .

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Step 1.1

Factor $8$ out of $24$ .

$4 \sqrt[3]{8 (3)}$

Step 1.2

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

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

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

Step 2

Pull terms out from under the radical.

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

Step 3

Multiply $2$ by $4$ .

$8 \sqrt[3]{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt[3]{3}$

Decimal Form:

$11.53799656 \dots$

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