Linear Algebra Examples

$\sqrt[5]{23328} + 5 \sqrt[5]{3}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $23328$ as $6^{5} \cdot 3$ .

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Step 1.1.1

Factor $7776$ out of $23328$ .

$\sqrt[5]{7776 (3)} + 5 \sqrt[5]{3}$

Step 1.1.2

Rewrite $7776$ as $6^{5}$ .

$\sqrt[5]{6^{5} \cdot 3} + 5 \sqrt[5]{3}$

$\sqrt[5]{6^{5} \cdot 3} + 5 \sqrt[5]{3}$

Step 1.2

Pull terms out from under the radical.

$6 \sqrt[5]{3} + 5 \sqrt[5]{3}$

$6 \sqrt[5]{3} + 5 \sqrt[5]{3}$

Step 2

Add $6 \sqrt[5]{3}$ and $5 \sqrt[5]{3}$ .

$11 \sqrt[5]{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$11 \sqrt[5]{3}$

Decimal Form:

$13.70304033 \dots$

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