Algebra Examples

$\sqrt[4]{27} \cdot \sqrt[4]{3}$

Step 1

Combine using the product rule for radicals.

$\sqrt[4]{27 \cdot 3}$

Step 2

Write the expression using exponents.

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Step 2.1

Multiply $27$ by $3$ .

$\sqrt[4]{81}$

Step 2.2

Rewrite $81$ as $3^{4}$ .

$\sqrt[4]{3^{4}}$

Step 3

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

$3$