Algebra Examples

$\sqrt[5]{224} + 3 \sqrt[5]{7}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $224$ as $2^{5} \cdot 7$ .

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Step 1.1.1

Factor $32$ out of $224$ .

$\sqrt[5]{32 (7)} + 3 \sqrt[5]{7}$

Step 1.1.2

Rewrite $32$ as $2^{5}$ .

$\sqrt[5]{2^{5} \cdot 7} + 3 \sqrt[5]{7}$

$\sqrt[5]{2^{5} \cdot 7} + 3 \sqrt[5]{7}$

Step 1.2

Pull terms out from under the radical.

$2 \sqrt[5]{7} + 3 \sqrt[5]{7}$

$2 \sqrt[5]{7} + 3 \sqrt[5]{7}$

Step 2

Add $2 \sqrt[5]{7}$ and $3 \sqrt[5]{7}$ .

$5 \sqrt[5]{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt[5]{7}$

Decimal Form:

$7.37886580 \dots$

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