Evaluate fourth root of 2* fourth root of 8

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

Step 1

Combine using the product rule for radicals.

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

Step 2

Write the expression using exponents.

Multiply $2$ by $8$ .

$\sqrt[4]{16}$

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

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

Step 3

Pull terms out from under the radical, assuming positive real numbers.

$2$