Algebra Examples

$\sqrt{27} \cdot \sqrt{3}$

Step 1

Combine using the product rule for radicals.

$\sqrt{27 \cdot 3}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $27$ by $3$ .

$\sqrt{81}$

Step 2.2

Rewrite $81$ as $9^{2}$ .

$\sqrt{9^{2}}$

Step 2.3

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

$9$