Question

simplify the product.
\sqrt{3} \cdot \sqrt{27}
\sqrt{3} \cdot \sqrt{27} = \square (type an exact answer, using radicals as needed.)

Explanation:

Step1: Combine radicals using product rule

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

Step2: Calculate product inside radical

$\sqrt{3 \times 27} = \sqrt{81}$

Step3: Simplify the square root

$\sqrt{81} = 9$

Answer:

9