Algebra Examples

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

Step 1

Combine using the product rule for radicals.

$\sqrt{3 \cdot 27}$

Step 2

Simplify the expression.

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Multiply $3$ by $27$ .

$\sqrt{81}$

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

$\sqrt{9^{2}}$

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

$9$