Question

simplify.
\sqrt{3} \cdot \sqrt{15}

Explanation:

Step1: Combine square roots

$\sqrt{3} \cdot \sqrt{15} = \sqrt{3 \times 15}$

Step2: Multiply inside the root

$\sqrt{45}$

Step3: Factor into perfect square

$\sqrt{9 \times 5} = \sqrt{9} \cdot \sqrt{5}$

Step4: Simplify perfect square

$3\sqrt{5}$

Answer:

$3\sqrt{5}$