Evaluate fourth root of 1/3* fourth root of 48

$\sqrt[4]{\frac{1}{3}} \cdot \sqrt[4]{48}$

Step 1

Combine using the product rule for radicals.

$\sqrt[4]{\frac{1}{3} \cdot 48}$

Step 2

Combine $\frac{1}{3}$ and $48$ .

$\sqrt[4]{\frac{48}{3}}$

Step 3

Simplify the expression.

Divide $48$ by $3$ .

$\sqrt[4]{16}$

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

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

Step 4

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

$2$