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

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

Combine using the product rule for radicals.

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

Multiply $2$ by $8$ .

$\sqrt[4]{16}$

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

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

Pull terms out from under the radical.

$| 2 |$

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

$2$