Algebra Examples

$\sqrt[4]{12} \cdot \sqrt[4]{8}$

Step 1

Combine using the product rule for radicals.

$\sqrt[4]{12 \cdot 8}$

Step 2

Multiply $12$ by $8$ .

$\sqrt[4]{96}$

Step 3

Rewrite $96$ as $2^{4} \cdot 6$ .

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Step 3.1

Factor $16$ out of $96$ .

$\sqrt[4]{16 (6)}$

Step 3.2

Rewrite $16$ as $2^{4}$ .

$\sqrt[4]{2^{4} \cdot 6}$

Step 4

Pull terms out from under the radical.

$| 2 | \sqrt[4]{6}$

Step 5

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$2 \sqrt[4]{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[4]{6}$

Decimal Form:

$3.13016916 \dots$