Linear Algebra Examples

$- 6 \sqrt[4]{486}$

Step 1

Rewrite $486$ as $3^{4} \cdot 6$ .

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Step 1.1

Factor $81$ out of $486$ .

$- 6 \sqrt[4]{81 (6)}$

Step 1.2

Rewrite $81$ as $3^{4}$ .

$- 6 \sqrt[4]{3^{4} \cdot 6}$

$- 6 \sqrt[4]{3^{4} \cdot 6}$

Step 2

Pull terms out from under the radical.

$- 6 (3 \sqrt[4]{6})$

Step 3

Multiply $3$ by $- 6$ .

$- 18 \sqrt[4]{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 18 \sqrt[4]{6}$

Decimal Form:

$- 28.17152244 \dots$

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