Algebra Examples

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

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.

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Step 3.1

Divide $48$ by $3$ .

$\sqrt[4]{16}$

Step 3.2

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

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

Step 4

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

$2$