Simplify the Radical Expression fourth root of 8* fourth root of 2

$\sqrt[4]{8} \cdot \sqrt[4]{2}$

Step 1

Combine using the product rule for radicals.

$\sqrt[4]{8 \cdot 2}$

Step 2

Multiply $8$ by $2$ .

$\sqrt[4]{16}$

Step 3

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

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

Step 4

Pull terms out from under the radical.

$| 2 |$

Step 5

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

$2$